Question

A premium cab rental company charges a minimum fare of $5 and an additional charge of $2 per mile.

Which graph has the most appropriate scales and units for this situation?

please pick A, B, C, or D

Answer 1

C

Explanation:

The independent variable is the variable you are given. Then you calculate the other variable using the equation. The other variable is called the dependent variable since its value depends on the value of the independent variable.

In this case, the independent variable is the number of miles. You may be asked what is the charge for a 5 mile ride? What is the charge for a 10 mile ride? To calculate the charges, you enter 5 or 10 for the independent variable (the number of miles), and you calculate the dependent variable (the cost).

The equation for this situation is

y = 2x + 5

Since you are always doubling the number of miles to calculate the cost, it makes sense that the cost by on a scale that is double the scale of the miles. Also, the dependent variable is x and the independent variable is y.

With all that in mind, the answer is graph C. which has miles as x, cost as y, and the maximum value of y is double the maximum value of x.

Answer 2

C.

Explanation:

Miles is the independent variable in the relation, so the horizontal scale should have units of miles.

The ratio of charges to miles is about 2:1, so the graph will work better if the range of the vertical scale is about double that of the horizontal scale. The graph with that aspect ratio is shown in choice C.