Question

There is a linear relationship between the number of roses blooming in the garden and the number of days that pass. After 4 days, there are 22 rose blooms left, and after 8 days, there are 10 rose blooms left.

Which of the following graphs represents the relationship?

Answer 1

The first graph is correct.

Explanation:

After 4 days, there are 22 rose blooms left -------(4, 22)

and after 8 days, there are 10 rose blooms left -----(8 , 10)

Equation of straight line:

y =ax +b

input (4, 22) and (8, 10)

22 = 4a + b ----(1)

10 = 8a +b ------(2)

solve to find a , b

(2) - (1)

-12 = 4a, a= -3

find b, b = 34

Equation is : y= -3x + 34

When you set x = 0, y is 34.

The first graph is correct.