Question

8. Daniel works as a volunteer in a homeless shelter.

So far, he has worked 22 hours, and he plans to
continue working 3 hours per week. His hours worked
as a function of time is shown in the graph.

a. Write an equation that represents the hours Daniel
will work as a function of time.

b. Identify the slope and y-intercept and describe their
meanings.
--

c. Find the number of hours worked after 16 weeks.

(the photo is the graph they supplied)

Answer 1

a. 3x + 22

b. slope is 3, y intercept is (0,22) this means points on graph rise 3 and run 1, this also means that in zero more weeks Daniel will have 22 hours of volunteering

c. 70 hours

Explanation:

a. the slope is 3 so the coefficient and variable will be 3x, y intercept is (0,22) so the term would be + 22 together this is y=3x+22

b. just count points going up and horizontally for slope and y intercept is when x equals zero

c. look on the graph, the point is (16,70) in 16 weeks he will have 70 hours done