A student currently has $250 dollars in a savings account. He plans to save $35 per week until he has a total of $460 in his savings account. Which equation can be used to determine x, the total number of weeks it will take him to reach his goal?A student currently has $250 dollars in a savings account. He plans to save $35 per week until he has a total of $460 in his savings account. Which equation can be used to determine x, the total number of weeks it will take him to reach his goal?

Answer:

460=35x+250

Step-by-step explanation:

He starts off with 250, adding 35 each week, which is constant, represented by x

Answer:

460 = 250 + 35x

Step-by-step explanation:

First, let's review some given knowledge. We know how much money he currently has, $250, and how much he plans to save per week, $35. We can represent this as a linear function in the form y = mx + b. The rate of change, aka the slope, is represented by m and the initial amount, aka the y-intercept, is b.

So what do m and b equal? We already have that knowledge! Because b represents the starting amount, we need to find the starting value of the savings account. That amount is $250, and so b = 250.

As for m, that, once more, is the rate of change. Here, that's how much money is added to the savings account in a frame of time. In this case, y represents how much money is in the savings account and x is how many weeks the student has been saving money for. In other words, the amount of money in the savings account is dependent on how many weeks the student has been saving money for.

This is for two reasons: first, in a linear equation of the form y = mx + b, x is the independent variable and y is the dependent variable. The function represents the change in x; this is why y could also be written as f(x),"the function of x" — y is a function of x. Second, it's very rare to find a situation where time is the dependent variable; you can go forward in time, but you (presumably!) can't go backward, unless you happen to have a DeLorean or a TARDIS.

Why is this important? Slope is rise over run; this could also be described as the change in y over the change in x, or [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]. Here, the slope is the change in the amount of money in the savings account over the number of weeks the student has been saving money. That's also the rate of change.

So, how much money is the student saving per week? The problem tells us that amount: he's saving $35 per week.

Now that we have our values, we can write our function. It is y = 35x + 250, where y is the amount of money in the savings account, x is the number of weeks the student has been saving money, 35 is the amount of money saved per week, and 250 is the starting amount of money in the account.

Next, we need to solve for a specific value of x. Here, y is given to us; it's 460, because the student wants to have $460 in his savings account. By substituting 460 for y, we turn our function into an equation. Then, we can solve for x, the number of weeks the student needs to reach his goal of having $460 in his savings account when he started with $250 and is saving $35 per week.

This, once again, makes our function, y = 35x + 250, into 460 = 35x + 250. Now, if we wanted to, we could solve for x by reversing the operations done. If this were a function, it would mean we were finding the inverse. But since this is an equation, we'd just be solving for x, the number of weeks the student will save money for until he reaches his goal.

Phew! This is a long explanation, I know. But my goal here is to help you understand the concept so you don't need to ask questions like this in the future. Hopefully, this answer helps you to reach that level.

It's about 9:00 AM where I am as I finish writing my answer, so good morning and have an awesome day! Keep learning, keep growing, and never stop going! You've got this!

Which of the following is a polynomial?
A.
(x - 2)
(x++3)
B. +2
х

c. x2-1
D. x + x4 + 16

Can someone help im not good with ratios.

the ratio of teachers to students is 1 to 7. if there are 5 teachers, how many students are there?

what times 4/5 equals 3/10

One-step multiplication & division equations: fractions & decimals
Solve the equation
= 4.5

QUESTION 1: Is the following equation proportional? How do you know? y=3x-4


QUESTION 2: Is the following equation proportional? how do you know? y=7x

Find the circumference and the area of a circle with diameter 3 ft. Use the value 3.14 for pi, and do not round your answers. Be sure to include the correct units in your answers. ​

which expression is equivalent to 8(3z)​

13+t/17
A 13+t=17
B 13t+17

Find the value of t that makes the equation true.
t=

A certain animal gets food from another animal without killing it. Identify the type of organism.
(A) Saprophyte
(B) Carnivore
(C) Parasite
(D) Autotroph

Which equation represents the height of the purple part of the wall?
о В.
A. 2 x 8 7 2 = 6 3 ft
B. 9x8* = 6 ft
ocx 10 = 6 ft
D. x 104 = 7ft

Calculate the mean: $1,001, $68.50, $33.82, $581.95. (Round your answer to the nearest hundredth.)

3/4(12a+8)=34.8 someone please help me solve this

-X + 3= -2


What ís the solution to this equation?
​

a adult giraffe that is 18 ft tall casts a shadow that is 9ft tall. find the length of the shadow that is casts by a 4ft baby elephant. plz help i will give brainliest

Long division 5th grade I’m sorry if I’m asking a lot but I’m really new to this

The dimensions of a rectangular piece of construction paper are 11.5 inches and 18 inches. Maggie folded the piece of paper along its diagonal.

Which measurement is closest to the length of the diagonal in inches?


7.6 in

13.8 in.

21.4 in

29.5 in.​

number of
teaspoons
number of
tablespoons
number of
cups
2
36
12
48
3
3

Carlos brought 16 packs of cola to a party, and each pack had 8 cans. Heather brought 9 cans of juice. How many cans did they bring in all?

6x1/5 in simplest form it’s for my cousin

What is the median for the set of data?
6, 7, 10,12,12,13

A bus traveling from Memphis to Nashville has an average speed of 53 mph. How long will the trip take in hours if the distance between the two cities is 220 miles? ( HOW DID YOU GET YOUR ANSWER PLEASE SHOW YOUR WORK, DO NOT BOTHER ANSWERING IF YOU DO NOT SHOW WORK AND TELL ME HOW YOU GOT YOUR ANSWER!!)
A. 48.14
B. 22.36
C. 192
D. 4.15
E. .50
F. 0
G. .251
H. 1.25
I. -135

A school laser printer prints 72 pages in 6 minutes. Alanna's home
printer prints twice as many pages in twice as many minutes. Alanna says her
printer's rate in pages per minute is two times the rate of the school printer.
Do you agree or disagree? Explain.
Do you agree or disagree? ->
Explain:

What is -4(5 + (-2))

Word counts The lengths (in words) of seven articles from the New York post

Stephano has a coupon for 20% off an item that normally costs $30. If he uses the coupon, how much will he pay?

Raul crosses Main Street when he walks home from school. The graph of the function d(t)=4|t-0.75) shows Raul's distance, in miles, from Main Street after thours. The domain of the function is 0 <= x <= 1.5 The graph shows his entire trip

children are the future of the country why
​

Solve:
3 + 2 + 52 × 6 − 3 =

(3 + 2) + 52 × (6 − 3) =

Which of these operations is not closed for polynomials?

A. Subtraction

B. Addition

C. Division