Question

A store is designing the space for rows of nested shopping carts. Each row has a starting cart that is 4 feet long, followed by the nested carts (so 0 nested carts means there's just the starting cart). The store measured a row of 13 nested carts to be 23.5 feet long, and a row of 18 nested carts to be 31 feet long.

Create a graph of the situation.

Answer 1

The graph is plotted below.

Explanation:

Given:

Starting cart means number of nested carts is 0.

So, let the number of nested carts be represented along the x axis and height of the nested carts be represented along the y axis.

As per question,

When
`x=0`, the height is
`y=4\ ft`

When
`x=13`, the height is
`y=23.5\ ft`

When
`x=18`, the height is
`y=31\ ft`

So, the points on the graph are (0,4), (13, 23.5) and (18, 31).

Plot these points on a graph and draw a line passing through all these points starting at (0, 4) and ending at (18, 31).

The graph is shown below.