Jasper’s pay is directly proportional to the number of hours he works. His pay is $412.50 for 25 hours of work.
(a) Write a linear equation to model the relationship between pay p and hours of work h
(b) Find the amount of pay for 40 hours of work.
please help
p = kh
to find k, solve
412.50 = 25k
then for 40 hours, he will get 40/25 * 412.50 = ____
(a) To write a linear equation that models the relationship between pay p and hours of work h, we can use the given information that Jasper's pay is directly proportional to the number of hours he works.
Let's represent the equation as:
p = kh
Where:
p = pay
h = hours of work
k = constant of proportionality
To find the value of k, we can use the information that Jasper's pay is $412.50 for 25 hours of work:
412.50 = k * 25
To solve for k, divide both sides of the equation by 25:
k = 412.50 / 25
k = 16.50
Now, we know that the equation that models the relationship between pay p and hours of work h is:
p = 16.50h
(b) To find the amount of pay for 40 hours of work, we can substitute h = 40 into the equation we just found:
p = 16.50 * 40
p = $660