Answer:
See Attachment for graph
Charges = $200 when number of she works for 3 hours
Step-by-step 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
[tex]c = 25 * 1 + 125[/tex]
[tex]c = 25 + 125[/tex]
[tex]c = 150[/tex]
When n = 2
[tex]c = 25 * 2 + 125[/tex]
[tex]c = 50 + 125[/tex]
[tex]c = 175[/tex]
When n = 3
[tex]c = 25 * 3 + 125[/tex]
[tex]c = 75 + 125[/tex]
[tex]c = 200[/tex]
When n = 4
[tex]c = 25 * 4 + 125[/tex]
[tex]c = 100 + 125[/tex]
[tex]c = 225[/tex]
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
[tex]c = 25n + 125[/tex]
Substitute 3 for n
[tex]c = 25 * 3 + 125[/tex]
[tex]c = 75 + 125[/tex]
[tex]c = 200[/tex]
