If 1 scoop of ice cream costs $1.50 and 3 scoops costs 4.50, how much would 6 scoops cost? plot this relationship as a point in a coordinate plane, with the price as the y varible

1 answer

To determine the cost of 6 scoops based on the pricing scenarios provided, we can analyze the costs:

  • The cost of 1 scoop is $1.50.
  • The cost of 3 scoops is $4.50.

However, purchasing 3 scoops saves you money per scoop.

To find the cost of 6 scoops, we can notice that buying 3 scoops for $4.50 means that for 6 scoops, you can simply double this cost: \[ Cost , of , 6 , scoops = 2 \times Cost , of , 3 , scoops = 2 \times 4.50 = 9.00 \]

So, 6 scoops would cost $9.00.

Now, let's plot this relationship on a coordinate plane. We'll consider the number of scoops \( x \) on the x-axis, and the price \( y \) on the y-axis.

We can plot the points based on the given information:

  1. \( (1, 1.50) \) - For 1 scoop
  2. \( (3, 4.50) \) - For 3 scoops
  3. \( (6, 9.00) \) - For 6 scoops

On the coordinate plane:

  • \( x = 1 \), \( y = 1.50 \) will be the point (1, 1.5).
  • \( x = 3 \), \( y = 4.50 \) will be the point (3, 4.5).
  • \( x = 6 \), \( y = 9.00 \) will be the point (6, 9).

So in summary, the points to plot are:

  • (1, 1.5)
  • (3, 4.5)
  • (6, 9)

You can plot these points on the graph to visualize the relationship. The relationship appears linear based on the pricing strategy.