Question

PLEASE HELP I GIVE 100 POINTS!!

1. Zozi keeps track of the miles per gallon her car gets per week. She has accumulated the following data:
(1, 24), (2, 24.39), (3, 24.78), (4, 25.17)

What is the common difference or ratio?
a. The common ratio is 0.99.
b. The common difference is 0.39.
c. The common difference is 0.76.
d. The common ratio is 1.02.
2.
Zach read a book for 10 minutes every weekend in the first month, 20 minutes in the second month, 40 minutes in the third month, and 80 minutes in the fourth month.
Victoria read a book for 35 minutes every weekend in the first month, 50 minutes in the second month, 65 minutes in the third month, and 80 minutes in the fourth month.

Which statement best describes the methods used by Zach and Victoria to increase the time they spent reading a book?
a. Both Victoria and Zach's method is exponential because the number of minutes increased by an equal factor every month.
b. Zach's method is linear because the number of minutes increased by an equal factor every month.
c. Both Victoria and Zach's method is exponential because the number of minutes increased by an equal number every month.
d. Victoria's method is linear because the number of minutes increased by an equal number every month.

Answer 1

number 1 b number 2 c

Explanation:

Answer 2

9514 1404 393

Answer:

1. b. The common difference is 0.39

2. no good answer (Zach's method is exponential; Victoria's is linear)

Explanation:

1. The differences in mileage are ...

24.39 -24 = 0.39

24.78 -24.39 = 0.39

25.17 -24.78 = 0.39

The common difference is 0.39.

____

2. Zach's monthly times are ...

10, 20, 40, 80

The differences are ...

10, 20, 40

The ratios are ...

20/10 = 40/20 = 80/40 = 2

Zach's times have a common ratio, so are exponential.

__

Victoria's monthly times are ...

35, 50, 65, 80

The differences are ...

15, 15, 15

Victoria's times have a common difference, so are linear.

__

The choices are ...

a. both exponential; common factor . . . . correct for Zach; not for Victoria

b. Zach's is linear (has equal factor) . . . incorrect

c. both exponential; common difference . . . incorrect

d. Victoria's is linear . . . . correct for Victoria

Choice D describes Victoria's method. Choice A is correct regarding Zach's method, but incorrect regarding Victoria's.

Choices B and C are not self-consistent, so are incorrect on their face.

There is no good choice.