Question

The Geocove city council thinks that the amount of time spent waiting to purchase admission to the waterpark will increase by 3. 5 minutes for each family group that joins the line. Which equation describes the total wait time ( y ) based on the number of family groups in the line ( x ) ?.

Answer 1

The linear equation that describes the total wait time(y) based on the number of family groups in the line(x) is given by:

$y = 3.5x$

A linear equation is modeled by:

$y = ax + b$

In which:

• a is the slope, which is by how much y changes when x changes by 1.

• b is the y-intercept, which is the value of y when x = 0.

In this problem:

• If there are no people in the queue, the waiting time will be of 0, hence the y-intercept is $b = 0$.

• For each purchase, the waiting time increases by 3.5 minutes, hence the slope is $a = 3.5$.

Hence, the equation is:

$y = 3.5x$

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