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

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

             .... (1)

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

Slope formula:

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

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).

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

250

step-by-step explanation:

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )