Question

A repair charges a travel free to vist a home and an hourly fee for the time spent fixing a leak. A repair that takes 2 h costs a $100. A repair that takes 6 h costs $260

Write an equation to represent the total cost of a repair, y, as a function of the number of hours spent fixing a leak, x

Answer 1

Answer:y=40x+20

Explanation:

Answer 2

Let's call the travel fee "t" and the hourly fee "h". Then the total cost of a repair, y, can be represented as:

y = t + hx

We can use the two given pieces of information to write two equations and solve for t and h:

2h + t = 100

6h + t = 260

Subtracting the first equation from the second, we get:

4h = 160

Dividing both sides by 4, we get:

h = 40

Substituting this value of h back into the first equation, we get:

2h + t = 100

2(40) + t = 100

80 + t = 100

Subtracting 80 from both sides, we get:

t = 20

So the total cost of a repair, y, as a function of the number of hours spent fixing a leak, x, can be represented as:

y = 20 + 40x

Explanation: