Question

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

Answer 1

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.