Answer:
your awnser should be. 4(x + 7 ) = -36
Answer: 1- function 1 has the greater rate of change but function 2 has the greater y-intercept
Step-by-step explanation:
We know that function 1 is:
y = f₁(x) = 0.75*x - 1
And for the second linear equation we can see that it passes through the points (-3, -1) and (0,1)
Then the slope is:
a = (1 - (-1))/(0 - (-3)) = 2/3
then the equation is something like:
y = f₂(x) = (2/3)*x + b
To find the value of b, we use the fact that when x = 0, we have y = 1.
Then:
1 = (2/3)*0 + b
1 = b
Then the equation for function 2 is:
f₂(x) = (2/3)*x + 1
So the two equations are:
f₁(x) = 0.75*x - 1
f₂(x) = (2/3)*x + 1
Where we can see that function 1 has a greater slope (rate of change) and function two has a greater y-intercept.
Then the correct option is
(1- function 1 has the greater rate of change but function 2 has the greater y-intercept)
