Question

HELP PLEASE 50 POINTS

A mechanic charges $125 plus $25 per hour of labor. The equation c=25n+125
describes the total she would charge for a service visit, where n represents the number of
hours of labor and c is the total cost. Graph the equation and using the graph, find how
much he charges when she works 3 hours.

Answer 1

See Attachment for graph

Charges = $200 when number of she works for 3 hours

Explanation:

Given

Charges = $25 per hour + $125 (c = 25n + 125)

Required

Graph the equation.

From the graph, determine c when n = 3

To plot the graph; first, we have to determine the points to use;

When n = 1

`c = 25 * 1 + 125`

`c = 25 + 125`

`c = 150`

When n = 2

`c = 25 * 2 + 125`

`c = 50 + 125`

`c = 175`

When n = 3

`c = 25 * 3 + 125`

`c = 75 + 125`

`c = 200`

When n = 4

`c = 25 * 4 + 125`

`c = 100 + 125`

`c = 225`

Plotting n on the x axis and c on the y axis; we have

c || n

1 || 150

2 || 175

3 || 200

4 || 225

(See attachment)

From the attachment;

When she works for 3 hour; This implies that n = 3

And c = $200 when n = 3

See Proof

`c = 25n + 125`

Substitute 3 for n

`c = 25 * 3 + 125`

`c = 75 + 125`

`c = 200`