Question

Adele's parents bought her a used car for her 18th birthday, but she has to pay the car

insurance. After one month, she had spent $183 on car insurance. After 4 months, she'd
spent a total of $732 on car insurance; and after a full year, she'd spent a total of $2,196 on
car insurance. Is the relationship between the number of months since Adele got her car and
the total amount of money she had spent on car insurance a linear relationship?

yes

no

Now, justify your answer.

A. The total amount spent on car insurance increased
by a greater amount each month.

B.The total amount spent on car insurance increased
by the same amount each month.

C. The total amount spent on car insurance didn't
increase by a constant amount each month.

D.The total amount spent on car insurance had no
relation to the number of months.

Answer 1

C

Explanation:

The answer is C. The total amount spent on car insurance didn't increase by a constant amount each month.

A linear relationship means that the relationship between two variables can be described by a straight line, with the rate of change being constant. In this case, the relationship between the number of months since Adele got her car and the total amount of money she had spent on car insurance is not linear. If the relationship was linear, we would expect the rate of increase to be constant, but in this case, the rate of increase is not constant. The car insurance cost 183 in the first month, 732 in 4 months, and 2196 in a year. That means 183 in 1 month, 549 in 4 months, and 1464 in a year. As we see, the rate of increase is not constant.