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malfutka [58]
3 years ago
8

A truck can be rented from company A for $120 a day plus $0.50 per mile. Company b chargers $80 a day plus $0.70 per mile to ren

t the same truck. Part A write a equation. To find the number of miles in a day at which the rental costs for company A and company B are the same Part b solve the equation
Mathematics
1 answer:
MatroZZZ [7]3 years ago
6 0

Answer:

Part A: .50x+120 = .70x+80

Part B: 200 miles

Step-by-step explanation:

So to start, we need to put this information into slope-intercept form. Slope intercept form is y=mx+b  where m represents the slope of a line and b represents the y-intercept. In this question y represents the total cost of the rental, x represents the number of miles driven, m represents the price per mile, and b represents the base price of the rental. Now that we know the variables, we need to plug in the information we have.

Since we know that company A charges $125 a day and $0.50 per mile we would have y=.50x+120

Since we know that company B charges $80 a day and $0.70 per mile we would have y=.70x+80

Now that we have two equations we can move onto the next step. We're looking to know the number of miles (x) that would make the total cost (y) equal. To do this we can make the equations equal each other since we know that y will be the same.

Written out, the equation will look like this: .50x+120 = .70x+80

Now, we are trying to find x so we need to isolate the variable.

To start we need to put x on the same side so we'll subtract .70x from both sides to get  -.20x+120=80

Next, we'll subtract 120 from both sides of the equation to get -.20x=-40

Finally, we'll divide both sides by -.20 to get x=200

This means that at 200 miles, both companies will cost the same amount.

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