Question

Allen rents a truck for 45 dollars plus .36 cents for every mile that he drives the truck. Write an equation that models this linear relationship.

Answer 1

Answer:

This is a linear equation of the form y = mx + b, where m is the rate of change and b is the y-intercept, also known as the value of y when x = 0.  Our independent variable is the number of miles we travel, and we will call that x.  If we pay .20 per mile, and miles is "x", we represent that as .20x.  The 70 is the amount we will pay per day even if we drive 0 miles.  Therefore, the equation is:

y = .20x + 70.

I cannot graph this for you here.

We can choose a number of miles, say 100, and solve for our cost:

y = .20(100) + 70

y = 20 + 70

y = 90

We can expect to pay $90 if we drive 100 miles in a day.

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Step-by-step explanation: