The first thing we must do is define variables.
We have then:
x: number of hours
y: total cost
For the first company we have:
[tex] y = 3.25x + 26
[/tex]
For the second company we have:
[tex] y = 3.50x + 24
[/tex]
To find the number of hours for which the cost is the same we have to match both equations:
[tex] 3.25x + 26 = 3.50x + 24
[/tex]
From here, we clear x:
[tex] 3.50x - 3.25x = 26 - 24
0.25x = 2
[/tex]
[tex] x = \frac{2}{0.25}
x = 8
[/tex]
Answer:
the number of hours for which the costs are the same is:
x = 8
B) 8.
