Question

Suppose that a bike rents for 50php plus 8php per hour. Write an equation in slope-intercept form that models this situation.

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Answer 1

Answer: C(x) = (8 php)*x + 50 php.

Explanation:

In a linear equation:

y = a*x + b

a is the slope.

x is the variable

b is the y-intercept.

In this case, we have

The rent is 50 php fixed, plus 8 php per hour.

Then we will pay the 50php only one time, and it does not depend on the number of hours that we rent, then this is the y-intercept.

then if we rent the bike for x hours, we will pay a plus of x*8 php.

Then the total cost for x hours, C(x), will be

C(x) = (8 php)*x + 50 php.

Then the slope is 8 php, and the y-intercept is 50 php.