Horace charges $25 to mow a lawn. He needs at least $450 to buy a new lawnmower. Horace wrote the inequality shown below to find m, the number of lawns he can mow to have enough money for the new lawnmower.

25m ≥ 450

What is the solution set for Horace's inequality?

A. m ≥ 18
B. m ≥ 14
C. m ≤ 18
D. m ≤ 14

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )

constant of proportionality = 3 and the equation is c = 3p.

step-by-step explanation:

c = kp   where c = amount of caffeine in mg., p = oz of pepsi and k is the constant of proportionality.

substituting the values given:

24 = 8k

k = 3.

the same value of k will be obtained if we substitute the other given values.