Question

PLEASE HELP

Jasmine supervises movie night for children at her neighborhood clubhouse the first Friday
of each month. She is paid $12 for supervising and $8 per child that attends. The following
graph represents the relationship between the number of children attending and her
earnings.
a. What is the rate of change in Jasmine’s earnings when the number of children
that attend changes from one to four?

b. What is the rate of change in Jasmine’s earnings when the number of children
that attend changes from six to seven?

c. Compare the values you calculated for parts a and b. What do you notice
about these values? Explain in detail why this occurred. Write full sentences to
express your answer and use your own words.

Answer 1

See explanation

Explanation:

a)

The rate of change of her earnings when the number of children increases from 1 to 4 is obtained as the slope of the straight line graph between 1 and 4

From;

y2-y1/x2 - x1, we have, 44 - 20/ 4 - 1 = 8 dollar per child

b)

The rate of change of her earning when the number of children that attend changes from six to seven;

y2-y1/x2 - x1, we have, 68 - 60/ 7 - 6 = 8 dollar per child

c) From the two calculations, the rate of change of Jasmine’s earnings remain the same in (a) and (b) above. This is because, the slope of a straight line graph remains constant throughout the line.