Jen is selling lemonade by the glass on the first hot day of summer. She plans to donate her profits to the local animal shelter.

Question

There is a linear relationship between the number of glasses of lemonade Jen sells and the total amount of money she makes.
Number of glasses sold Total amount of money
1 $0.75
2 $1.50
3 $2.25
4 $3.00
Describe the rate of change for this relationship.
The total amount of money Jen makes
by
per glass of lemonade she sells.

Answer 1

The rate of change for the relationship between the number of glasses of lemonade Jen sells and the total amount of money she makes is consistent. Specifically, for each additional glass of lemonade sold, the total amount of money increases by $0.75.

This means that for every glass of lemonade Jen sells, she makes $0.75. In mathematical terms, the rate of change can be expressed as:

\[ \text{Rate of change} = \frac{\text{Change in total amount of money}}{\text{Change in number of glasses sold}} = \frac{$0.75}{1 \text{ glass}} = $0.75 \text{ per glass} \]

Thus, the total amount of money Jen makes increases by $0.75 for each glass of lemonade she sells.