Answer:
The correct option is 3.
Step-by-step 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
[tex]y=mx+b[/tex] .... (1)
where, m is slope and b is y-intercept.
Slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The line passes through (0,12) and (1,21). The slope of the line is
[tex]m=\frac{21-12}{1-0}=9[/tex]
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).
[tex]y=9x+12[/tex]
The required equation is y = 9x + 12. Therefore the correct option is 3.
