Question

Which scenario best matches the linear relationship shown in the table?

Day Dollars
0 350
2 450
4 550
6 650

James had $350 in his cash register and earned $50 each day in sales.
James had $350 in his cash register and earned $100 each day in sales.
James had $350 in his cash register and spent $50 each day on supplies.
James earns $100 each day.

Answer 1

The Answer Would be
- A = James had $350 in his cash register and earned $50 each day in sales.
Because he had $350 in 1st place
Add it by $50 each day until day 6 he have $650 now.

Answer 2

Answer: James had $350 in his cash register and earned $50 each day in sales.

Explanation:

Given Table:-

Day Dollars

0 350

2 450

4 550

6 650

We know that the rate of change in function f(x)=
`(f(x_2)-f(x_1))/(x_2-x_1)`

Thus rate of change in sales from day 0 to day 6=
`=(f(6)-f(0))/(6-0)=(650-350)/(6-0)=(300)/(6)=\$\ 50\ per\ day`

Thus, James had $350 (as this is the initial value at day 0) in his cash register and earned $50 each day in sales.