Question
Rebecca is selling lemonade by the glass on the 1st hot day of summer.She plans to donate her profits to the local animal shelter.There is a line of relationship between the numbers of glasses of lemonade rebecca sales and the total amount of money she makes
Describe the rate of change for this relationship
The total amount of money rebecca makes by the link per glass she sailed
Increases
Decreases
$0.25
$0.50
$0.75
$1.33
$3.00
$4.00
Describe the rate of change for this relationship
The total amount of money rebecca makes by the link per glass she sailed
Increases
Decreases
$0.25
$0.50
$0.75
$1.33
$3.00
$4.00
Answers
GPT-4o mini
The rate of change in this context refers to how much money Rebecca makes for each glass of lemonade she sells. This is effectively the price per glass. If we assume that Rebecca is selling her lemonade at a constant price per glass, then the relationship between the number of glasses sold and the total amount of money made is linear.
To determine the rate of change in terms of the potential prices you've listed, we need to identify how much she earns with each glass sold:
1. If Rebecca sells lemonade at **$0.25** per glass, her total earnings would increase by **$0.25** for every additional glass sold.
2. If she sells at **$0.50**, her total earnings increase by **$0.50** for each glass.
3. Selling at **$0.75** means an increase of **$0.75** per glass.
4. At **$1.33**, the earnings increase by **$1.33** per glass.
5. At **$3.00**, it increases by **$3.00** per glass.
6. Finally, at **$4.00**, her total earnings increase by **$4.00** for each additional glass sold.
So, the rate of change for this relationship (the total amount of money Rebecca makes per glass sold) **increases** as the price per glass increases because the more expensive the lemonade, the more money she makes for each glass sold.
In summary:
- Rate of change (profit per glass) increases as the price per glass increases: $0.25, $0.50, $0.75, $1.33, $3.00, $4.00.
To determine the rate of change in terms of the potential prices you've listed, we need to identify how much she earns with each glass sold:
1. If Rebecca sells lemonade at **$0.25** per glass, her total earnings would increase by **$0.25** for every additional glass sold.
2. If she sells at **$0.50**, her total earnings increase by **$0.50** for each glass.
3. Selling at **$0.75** means an increase of **$0.75** per glass.
4. At **$1.33**, the earnings increase by **$1.33** per glass.
5. At **$3.00**, it increases by **$3.00** per glass.
6. Finally, at **$4.00**, her total earnings increase by **$4.00** for each additional glass sold.
So, the rate of change for this relationship (the total amount of money Rebecca makes per glass sold) **increases** as the price per glass increases because the more expensive the lemonade, the more money she makes for each glass sold.
In summary:
- Rate of change (profit per glass) increases as the price per glass increases: $0.25, $0.50, $0.75, $1.33, $3.00, $4.00.