Question

Thomas wants to rent a lawn mower. he has to pay a fixed base cost plus a daily rate for renting the lawn mower. the table shows the amount of money, y, in dollars, that thomas has to pay for renting the lawn mower for x days: lawn mower rental number of days (x) rent (dollars) (y) 0 12 1 21 2 30 3 39 4 48 which equation best shows the relationship between x and y? y = x + 21 y = 9x + 21 y = 9x + 12 y = x + 12

Answer 1

y=9x+12

slope (21-12)/(1-0)=9
b=12
y=9x+12

Answer 2

The correct option is 3.

Explanation:

The table of values is

Number of days (x) Rent (dollars) (y)

0 12

1 21

2 30

3 39

4 48

It is given that Thomas wants to rent a lawn mower. he has to pay a fixed base cost plus a daily rate for renting the lawn mower. It means the relationship between x and y is linear.

The slope intercept form of a line is

`y=mx+b` .... (1)

where, m is slope and b is y-intercept.

Slope formula:

`m=(y_2-y_1)/(x_2-x_1)`

The line passes through (0,12) and (1,21). The slope of the line is

`m=(21-12)/(1-0)=9`

The slope of the line is 9. From the given table it is clear that the y-intercept or initial value of the function is 12.

Substitute m=9 and b=12 in equation (1).

`y=9x+12`

The required equation is y = 9x + 12. Therefore the correct option is 3.