Question

A game center has a $5 admission fee and charges $0.50 for each game played. Graph the equation on the coordinate plane. Be sure to label the axes appropriately and provide a scale for the axes.

Answer 1

A game center has a $5 admission fee (this is the y-intercept of the equation)

It charges $0.50 for each game played (this is the slope of the equation)

The equation can be written as

$y=0.50x+5$

Where y is the cost and x is the number of games played.

To plot the graph, you can either find some (x, y) coordinates using the above equation.

Or you can plot it using the concept of slope and y-intercept.

Start at the point of y-intercept (0, 5)

The slope is 0.50 = 1/2

Then go 1 unit up and two units to the right that is your next point.

Repeat the same, 1 unit up and two units to the right that is your next point and so on...

Let us plot the graph

Scale: one small box = 1 unit

x-axis = number of games

y-axis = Cost ($)