Question

A car rental company charges, y, for x, days. Days 3 4 5 6
Total Cost ($) $55.50 $74.00 $92.50 $111
Write an equation in the form of y=kx. Explain what the constant rate of change means in this context.

Answer 1

The equation of the car rental company in the form y = kx is; y = 18.50x

The equation y = kx is such that;

• y = dependent variable

• x = independent variable

• k = constant of proportionality.

In essence; to determine the constant of proportionality, k in this case;

• k = y/x

Since the company charges, $55.50 for 3 days; we have;

By evaluation k = $55.50/3

• k = 18.50.

A constant rate of change means the variation in the dependent variable as dependent on the independent variable is constant

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