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:
\(y = 3.25x + 26
\)
For the second company we have:
\(y = 3.50x + 24
\)
To find the number of hours for which the cost is the same we have to match both equations:
\(3.25x + 26 = 3.50x + 24
\)
From here, we clear x:
\(3.50x - 3.25x = 26 - 24
0.25x = 2
\)
\(x = \frac{2}{0.25}
x = 8
\)
Answer:
the number of hours for which the costs are the same is:
x = 8
B) 8.
