The fuel efficiency (mpg rating) for cars has been increasing steadily since 1980. The formula for a car's fuel efficiency for a given year between 1980 and 1996 is E 0.36x + 15.9 where E is miles per gallon and z is the number of years after 1980. Note: Round your answers down to get the corresponding year. For instance, at 3.25, the year is 1983 .
a. In what years was the average fuel efficiency for cars less than 17 mpg (in interval form)?
b. In what years was the average fuel efficiency for cars more than 20 mpg (in interval form)?

Answer:

a) In the interval of [1980,1983].

b) In the interval of [1991, 1996].

Step-by-step explanation:

Fuel efficiency:

The fuel efficiency, for the cars, in x years after 1980, is given by:

[tex]E(x) = 0.36x + 15.9[/tex]

15.9 is the fuel efficiency in 1980.

a. In what years was the average fuel efficiency for cars less than 17 mpg (in interval form)?

From 1980 to:

[tex]E(x) < 17[/tex]

[tex]0.36x + 15.9 < 17[/tex]

[tex]0.36x < 1.1[/tex]

[tex]x < \frac{1.1}{0.36}[/tex]

[tex]x < 3.06[/tex]

3.06 = 1980 + 3 = 1983. So

In the interval of [1980,1983].

b. In what years was the average fuel efficiency for cars more than 20 mpg (in interval form)?

From x until 1996.

[tex]E(x) > 20[/tex]

[tex]0.36x + 15.9 > 20[/tex]

[tex]0.36x > 4.1[/tex]

[tex]x > \frac{4.1}{0.36}[/tex]

[tex]x > 11.38[/tex]

11.38 = 1980 + 11 = 1991. So

In the interval of [1991, 1996].

Between the first and second year of existence of a community service organization, the membership of the organization grew by 15%. Between its second and third years of existence, the community service organization's membership decreased by 10%Which of the following statements best describes the overall change in membership of the community service organization over the first three years of the organization's existence?

The theater sells two types of tickets:adult tickets for 8 and children tickets for 2. Last night ,the theater sold a total of 355 tickets for a total of 1964.how many adult tickets did the theater sell last night.

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I'll give brainiest to correct answer!

Activity 1
Instructions: Fill in the table with the missing information.
Experiment
Sample Space
Sample Point
Event
Dutcome
Number of
Possible
Outcome/s
3
Rolling a die
1,2,3,4,5,6
5
2, 4, 6
Getting an
even
number
Getting two
heads
1. Flipping two
coins
HH, HT, TH, TT
2. Choosing a
day in a
week
Choosing a
day that
starts with
letters
Choosing a
month that
ends with
letter R
3. Choosing a
month in a

coin and a
dle together
5. Letter in the
word
PENCIL
6. Numbers
from 1 to 10
P.E.N.C.IL
e,
Getting an
odd number
5


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