Question

There are 4 quarters in 1 dollar. The total number of dollars is a function of the number of quarters. Does this situation represent a linear or nonlinear function? Explain why.

Answer 1

A Linear function because the slope is constant.
If dollars represents the "y value" and quarters the "x value"
Then slope = rise/run = 1/4

$y = \frac{1}{4} x$

Answer 2

The situation represents the linear function.

Given that,

• There are 4 quarters in one dollar.
• The total no of dollars represents the function of the no of the quarter.

Based on the above information, we can say that

When dollar presents y value and the quarter presents x value

So, the slope should be $\frac{1}{4}$

The linear function should be $y = \frac{1}{4}x$

Therefore we can conclude that the situation represents the linear function.

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