Ryan and Taylor are both saving money to buy new video game
equipment. Ryan's savings plan can be modeled by the function
s= 15m + 50 where m represents the number of months since Ryan
started his plan, and s represents the amount of money saved in
dollars. The table shown represents Taylor's savings plan.


Taylor's Savings Plan

Number of
Month Amount Saved ($)
0 25
1 45
2 65
3 85

Select the options that correctly complete the sentences.

greather or less than -----answer

Ryan's rate of change is ________ Taylor's rate of change .

Ryan'sstaring balanced is_______ Taylor's starting balanced.​

Answers

Answer 1

We want to compare the rates of change and starting balances of Ryan and Taylor, the correct answers are:

"Ryan's rate of change is _less than_ Taylor's rate of change.""Ryan's starting balance is greater than Taylor's starting balance.​"

So we know that Ryan's savings plan can be modeled by:

S(m) = 15*m + 50.

This means that he starts with 50, and saves 15 per month, then:

Ryan's rate of change = 15 per monthRyan's initial balance = 50

For Taylor we have a table:

month    amount saved:

0                 25

1                  45

2                 65

3                 85

So, in month 0 he has 25, thus, his initial balance is 25.

And each month the amount saved increases by 20, then the equation is:

T(m) = 20*m + 25

Then we have:

Taylor's rate of change = 20 per month.Taylor's initial balance = 25

Now we can see that:

"Ryan's rate of change is _less than_ Taylor's rate of change."

"Ryan's starting balance is greater than Taylor's starting balanced.​"

If you want to learn more about rates of change, you can read:

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Related Questions

URGENTE, POR FAVOR AYUDA !!!!!!!!!!!
Se diseña una loseta recortando cuadrantes de circulo de 4cm de diámetro, de cada vértice de un cuadrado de lado 12 cm. Si se colocan tres de estas losetas en fila, ¿Cuál es el perímetro de la figura que se forma?

Answers

Te adjunto un fichero con la solución.

I REALLY NEED HELP ??

Answers

Answer: I believe it is 92

Step-by-step explanation:

Amy bought a diamond ring for $6,000. If the value
of the ring increases at a constant rate of 5.8% per
year, how long will it take for the ring to be worth
$19,000?
Show work

Answers

Answer: $13,308

5.8% of 6000 is 348. 348 times 21 is $7,308. add 6,000 to 7,308 and you get $13,308

Step-by-step explanation: amy likes cheap rings LOL

Answer:

54 3/4 years

Step-by-step explanation:

5.8% of 6,000= 348

348x54 3/4=19,053

hope it helps!

I need help!

How do you know if an equation is exponential growth or exponential decay or not an exponential equation? For example, what is y=2(0.5)^-the exponent is x

Answers

Answer:

If a is positive and b is greater than 1 , then it is exponential growth. If a is positive and b is less than 1 but greater than 0 , then it is exponential decay

Step-by-step explanation:

small baby answer

Unit 2 Mid-Unit Assessment

Answers

Answer:

users are not supposed to help you on test, quiz's or assessments. according to the T.O.S of brainly aka the honor code

Step-by-step explanation:

Please help me with this question

Answers

Answer:

4x+6y

Step-by-step explanation:

What are the three different kinds of problems we can solve using the percent proportion?

Answers

Answer:

We have now seen solutions method for the three basic types of percent problems ;finding the amount, the rate, and the base

James buys a shirt and a pair of socks on sale for 20% off. If the price of the shirt
before the sale was $26 and he spent a total of $26, what was the original price of
the socks? Round to the nearest hundredth, if necessary.

Answers

Answer:

The Price of socks is  

=

$

8

Explanation:

Given -

Discount 25%

Price of shirt before discount  

=

$

24

Amount spent on both shirt and socks after applying discount  

=

$

24

Assume the price of socks  

=

$

x

Then Shirt + Socks before discount =

$

(

24

+

x

)

After discount one has to pay 75% of the article.

Then -

75

100

(

24

+

x

)

=

24

0.75

(

24

+

x

)

=

24

18

+

0.75

x

=

24

0.75

x

=

24

18

=

6

x

=

6

0.75

=

8

The Price of socks is  

=

$

8

How to verify your answer -

One way

Price of shirt =$24

Price of socks =$8

Total =$32

Discount =25%

Discount for $32 is  

32

×

25

100

=

$

8

Amount one has to pay after discount  

=

32

8

=

$

24

Another way is -

Discount 25%

It means after discount it is enough if he pays 75% of the price.

In our case - Actual price is  

=

$

32

75% of $32 is  

=

32

×

75

100

=

2

Step-by-step explanation:

Mike bought a bottle of gatorade for $1
and some granola bars for $2.50
each. How many granola bars did he
buy if he spent $11 total?

Answers

Answer:

4 granola bars

Step-by-step explanation:

x is the number of granola bars

1 + 2.5x = 11

2.5x = 10

x = 4

Jasmine will buy the same number of stamps every month to add to a stamp collection her grandfather gave her. The table shows the number of stamps Jasmine will have at the end of x months. How many stamps was Jasmine given, and how many stamps will she buy every month?

A. Jasmine was given 65 stamps, and she will buy 5 stamps every month.

B. Jasmine was given 60 stamps, and she will buy 65 stamps every month.

C. Jasmine was given 5 stamps, and she will buy 60 stamps every month.

D. Jasmine was given 60 stamps, and she will buy 5 stamps every month

Answers

Answer:

It is D

Step-by-step explanation:

It could be A but if we read the sentence correctly than we should understand about the number of stamps she bought in every month and how much her grandmother gave her.We should also read the options more than 10 times to understand it

i don’t know the answer

Answers

Answer:

C

Step-by-step explanation:

In order to be able to find the circumference in relation to radius, you have to use the formula C = 2πr

Hope this helped :)

please help it’s due today!!!

Answers

Answer:

1=x and 2=y

Step-by-step explanation:


Need answer plz help

Answers

Answer:

138.16

Step-by-step explanation:

multiply them all together

A random sample of students were asked whether they prefer milk juice or water is it results are summarized in the table.

Answers

Answer:

C

Step-by-step explanation:

The probability of students response is milk is 0.311.

What is probability?

Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.

For the given situation,

The table shows the students preference of milk, juice or water.

Total number of students preferred milk = 14

Total number of students = 45

Thus the probability that the students response is milk is

[tex]P(e)=\frac{14}{45}[/tex]

⇒ [tex]P(e)= 0.311[/tex]

Hence  we can conclude that the probability of students response is milk is 0.311.

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Identify the type of solution from a graph.

Answers

Answer:

the answerrrr I believe is C

Solve the linear equation x - 9= 3/5x
(Please put your answer as a decimal.)

Answers

Answer:

22.5

Step-by-step explanation:

Answer:

x = 22.5

Step-by-step explanation:

x - 9= 3/5x

3/5x - x = -9

-2/5x = -9

x = 22.5

A line with what type of slope contains the points (-2, 5) and (-2, 6)?

Answers

Answer:

undefined

Step-by-step explanation:

To find the slope

m = ( y2-y1)/(x2-x1)

   = ( 6-5)/( -2 - -2)

   = (6-5) /(-2+2)

    = 1/0

We cannot divide by zero, so the slope is undefined

If STU is reflected over a horizontal line, what is the length of side S'U'?

Answers

What is the original angle? You didn't provide us with enough information. If the angle is reflected, it'll be the same number of units as the original shape.

Hope this helped.

Help me will mark brainliest!!!

Answers

Answer:

a ray can be defined as a part of a line that has a fixed starting point but no end point. It can extend infinitely in one direction. It can extend infinitely in one direction.

Answer:

A ray can intersect a circle in a line segment

Because when a ray will pass through a circle,it will Pass through two points making it a line segment in the circle

Janet is designing a garden in the shape of a trapezoid which is split into three parts: two triangular
flower beds and a rectangular section of grass. Setting up the flower beds costs $3.50 per square
foot. How much will Janet have to spend to set up the flower beds?
PLS HELP

Answers

Ans) 70

Tell me if you need steps

(Am 100% sure with this answer)

What is the value of \log_7 343log
7

343?

Answers

Answer:

3

Step-by-step explanation:

on delta math

Solve the system of equations by substitution.
3x+2y=10 y=3x-4
x= y=​

Answers

Answer:

x=2;  y=2

Step-by-step explanation:

3x+2y=10

y=3x-4

We can substitute y from the first equation with the second equation:

3x+2(3x-4)=10

3x+6x-8=10

9x=18

x=2

Now plug this in to any of the equations (i used second equation):

y=3(2)-4

y=6-4

y=2

Check your answers:

y=3x-4

2=3(2)-4

2=6-4

2=2

- For English class, George must read 168 pages in 7 days. What is the unit rate of
pages to days?

Answers

Answer:

168 pages/7 days = 24 pages/1 day

Hope that helps, dude.

find the solution to the system of equations? 4x-3y-z=3 , -3x+5y+z=9, x+2z=6

Answers

Answer:

is this the one?

Step-by-step exExplanation:

Adding third equation to first one,

7

x

+

5

y

+

z

+

x

6

y

z

=

0

18

or  

8

x

y

=

18

.  

(

1

)

Adding 2 times of third one to second one,

x

+

3

y

+

2

z

+

2

(

x

6

y

z

)

=

16

2

18

or  

x

9

y

=

20

 

(

2

)

Substracting 8 times of  

(

2

)

from  

(

1

)

,

8

x

y

8

(

x

9

y

)

=

18

8

(

20

)

71

y

=

142

, so  

y

=

2

Hence,

x

9

2

=

20

or  

x

18

=

20

, so  

x

=

2

Thus,

7

(

2

)

+

5

2

+

z

=

0

or  

z

4

=

0

, so  

z

=

4Explanation:

Adding third equation to first one,

7

x

+

5

y

+

z

+

x

6

y

z

=

0

18

or  

8

x

y

=

18

.  

(

1

)

Adding 2 times of third one to second one,

x

+

3

y

+

2

z

+

2

(

x

6

y

z

)

=

16

2

18

or  

x

9

y

=

20

 

(

2

)

Substracting 8 times of  

(

2

)

from  

(

1

)

,

8

x

y

8

(

x

9

y

)

=

18

8

(

20

)

71

y

=

142

, so  

y

=

2

Hence,

x

9

2

=

20

or  

x

18

=

20

, so  

x

=

2

Thus,

7

(

2

)

+

5

2

+

z

=

0

or  

z

4

=

0

, so  

z

=

4planation:

Bill's favorite breakfast cereal is available in four different sizes. Which is the best buy?
15-ounce box for $4,20
B 10-ounce box for $3.10
© 22-ounce box for $5.72
18-ounce box for $4.50

Answers

Answer:

The best deal is the 18 ounce box

Answer:

the 18 ounce box is cheapest per ounce

Step-by-step explanation:

1. .28per ounce

2. .31per ounce

3. . 26per ounce

4. .25per ounce

Expand (Explain your work)
(3p - 2)^2

Answers

Answer:

9p^2-12p+4

Step-by-step explanation:

Apply perfect square formula;

a=3p , b=2

Apply perfect square formula;

(3p)^2-2*3p*2+2^2

Simplify:

=9p^2-12p+4

PLEASE HELP

Use the formula √(x2−x1)2+(y2−y1)2 to find the distance between the points(8,2) and (3,8) to the nearest tenth please

Answers

Answer:

Step-by-step explanation:

[tex]d=\sqrt{(3-8)^2+(8-2)^2} =\sqrt{25+36 }=\sqrt{61} \approx 7.81[/tex]

The radius of a salad bowl is 8.9 inches. What is the surface area of the bowl? (Assume the bowl is half a sphere and use 3.14 for ).
a. 3979.51 in2
b. 994.88 in2
c. 497.44 in2
d. 52.92 in2

Answers

Answer:

994.88 in2

Step-by-step explanation:

Use the surface area formula SA = 4(pi)(r2) which results in SA = 4(3.14)((8.9)2) = 994.88 square inches. Because the bowl represents half a sphere, it is necessary to divide that answer by 2 to get the surface of the bowl.

If radius of a salad bowl is 8.9 inches then the surface area of the bowl is 497.44 square inches, option c is correct.

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that  radius of a salad bowl is 8.9 inches.

We have to find the  surface area of the bowl

The surface area of a half-sphere is given by the formula:

SA = 2πr²

where r is the radius of the sphere.

In this case, the radius of the salad bowl is 8.9 inches.

Substituting this value into the formula, we get:

SA = 2 x 3.14 x (8.9)²

SA = 497.44 square inches

Surface area =497.44 square inches

Hence, if radius of a salad bowl is 8.9 inches then the surface area of the bowl is 497.44 square inches, option c is correct.

To learn more on Three dimensional figure click:

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Nancy borrows $5000 at a rate of 16% interest per year. What is the amount due at the end of 5 years If the Interest is
compounded continuously?
$5200
$11.127.70
$800
$11,000

Answers

the answer would be $11,000

Answer:

$11,000

Step-by-step explanation:

HELP ME
ANSWER THIS QUESTION
DONT ANSWER WITH A LINK

Answers

reduce it
so 21/7 = 3/1

16/4=4/1

Answer:

3/1.....4/1

Step-by-step explanation:

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