Question

I need help again 100 pts

Answer 1

1. Becky's rate of sales is 9 cups per hour

2. Mayisha's rate of sales is 10 cups per hour

3. Becky is selling 1 fewer cups per hour than Mayisha

4. Becky started with 2 fewer cups than Mayisha

Explanation:

1. 30-12=18 18/2=9

2. 31-21=10 21-11=10

3. 10-9=1

4. 30+9=39 31+10=41 41-39=2

Answer 2

Becky's rate of sales is
`\boxed{\sf 9}` cups per hour.

Mayisha's rate of sales is
`\boxed{\sf 10}` cups per hour.

Becky is selling
`\boxed{\sf 1\: fewer}` cup(s) per hour than Mayisha.

Becky started with
`\boxed{\sf 2}` fewer cups than Mayisha.

Explanation:

Mayisha

`\begin{array}c\cline{1-4} \sf Hours\:(x) & 1 & 2 & 3\\\cline{1-4} \sf Cups\: {left}\:(y) & 31 & 21 & 11\\\cline{1-4} \end{array}`

Becky

`\begin{array}\cline{1-4} \sf Hours\:(x) & 1 & 2 & 3\\\cline{1-4} \sf Cups\: {left}\:(y) & 30 & & 12\\\cline{1-4} \end{array}`

Selling at a steady rate.

To calculate the rate of sales, use the rate of change formula:

`\sf Rate\:of\:change = (change\:in\:y)/(change\:in\:x)`

Therefore:

`\textsf{Becky's rate of sales}=(12-30)/(3-1)=-9`

Therefore, as the number of cups reduces by 9 each hour, Becky's rate of sales is 9 cups per hour.

`\textsf{Mayisha's rate of sales}=(11-31)/(3-1)=-10`

Therefore, as the number of cups reduces by 10 each hour, Mayisha's rate of sales is 10 cups per hour.

As 9 is one less than 10, Becky is selling 1 fewer cup(s) per hour than Mayisha.

As Becky had 30 cups left after 1 hour, and her rate of sales is 9 cups, then she started with 30 + 9 = 39 cups.

As Mayisha had 31 cups left after 1 hour, and her rate of sales is 10 cups, then she started with 31 + 10 = 41 cups.

As 39 is 2 less than 41, Becky started with 2 fewer cups than Mayisha.