The y-value changes from 10 to 70 as the x-value changes from 0 to 10. That makes the slope (70 -10)/(10 -0) = 6, and the y-intercept = 10.
Selection A is the appropriate equation.
1) Jason: Shop A - 11 units; Shop B - 12 units. Sales increase at 17% per week. So, 11 + 12 = 23.
f(x) = 23(1.17)ˣ
2) Daniel: Element A temp - 44(1.13)ˣ ; Element B temp - 17(1.13)ˣ. How much temp of Element A be more than the temp of Element B.
f(x) = 44(1.13)ˣ - 17(1.13)ˣ = 27(1.13)ˣ
f(x) = 27(1.13)ˣ
3) Maggie: Tshirt price - $13. Charity donation - 270
f(x) = 13x - 270
4) Mr. Smith: Length of backyard - 30x + 29 ; Length of square patio - 13x + 6
Length not covered by the patio.
f(x) = (30x + 29) - (13x + 6) = 30x - 13x + 29 - 6 = 17x + 23
f(x) = 17x + 23
16 dollars each because you do 8x5 which equals 40 and do 168-40 which equals 128 / 8 equals 16
ANSWER:
Both functions have the same slope
The linear equation does not have a y-intercept
The table and the grahp express an equivalent function
STEP-BY-STEP EXPLANATION:
In order to compare, we must calculate the slope of the table, knowing that the equation in its slope and intercept form is the following:

The formula to calculate the slope is the following:

The points are (-6, -9/2) and (4,3), replacing:

The slope is 3/4
Now, for b
x = 4
y = 3
m = 3/4
replacing:

The equation is:

Therefore, the true statements are:
• Both functions have the same slope
,
• The linear equation does not have a y-intercept
,
• The table and the grahp express an equivalent function