Question

the graph below models the cost for installing a fence based on the length of the fence. Use the graph to awnser the following willA) find the slope of the graph B) what are the units of the slopeC) write a linear equation in slope intercept form for the total cost C in dollars of installing a fence if the length of your fence is F feet long

Answer 1

a. To find the slope of the graph take 2 ordered pairs and replace its values in the following equation:

`m=(y2-y1)/(x2-x1)`

For example, choose (0,150) and (5,225):

`m=(225-150)/(5-0)=(75)/(5)=15`

The slope of the graph is 15.

b. The units of the slope (since it is a rate of change) are dollars per feet.

c. We already have the slope of the graph and its y intercept which is (0,150). Use this information to find the slope intercept form equation for the situation:

`C=15F+150`