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.

Respuesta :

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


Step-by-step explanation:

Given Table:-

Day Dollars

0 350

2 450

4 550

6 650

We know that the rate of change in function f(x)=[tex]\frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]

Thus rate of change in sales from day 0 to day 6=[tex]=\frac{f(6)-f(0)}{6-0}=\frac{650-350}{6-0}=\frac{300}{6}=\$\ 50\ per\ day[/tex]

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