Question

Each of the options below describes a relationship that you need to graph on a coordinate plane. Which of the options will have a slope of 12? Select all that apply.

Answer 1

Answer: A and B (only)

Step-by-step explanation:

In order to find which options have a slope of 12, we need to divide the dependent variable(miles, dollars, pages) by the independent variable(hours, pounds, or pairs).

Option A:

Independent Variable : 5 hours

Dependent Variable : 60 miles

Solving : $\frac{60}{5}$$\frac{miles}{hour}$ → 12 mph ✅

Option B:

Independent Variable : 4 pounds

Dependent Variable : 48 dollars

Solving : $\frac{48}{4}$$\frac{dollars}{pound}$ → 12 dollars/pound ✅

Option C:

Independent Variable : 8 hours

Dependent Variable : 72 pages

Solving : $\frac{72}{8}$$\frac{pages}{hour}$→ 9 pages/hour ❌

Option D:

Independent Variable : 4 pairs

Dependent Variable : 36 dollars

Solving : $\frac{36}{4}$$\frac{dollars}{pair}$→ 9 dollars/pair ❌

Since only options A and B had a slope value of 12, they are the correct options.

That's it!