Question

14. Katherine jogs 6m. The distance she

h
travels in x hours is represented by
mi
k(x) = 6x. Julio jogs 4-
h
he travels in x hours is represented by
j(x) = 4x.
a. Graph and label k(x) = 6x, and
j(x) = 4x.
Distance (mi)
AY
24
The distance
16
0
2
Time (h)
X
b. Who travels further in 4 hours, and
how far does this person travel?
c. Which function has a greater slope?

Answer 1

Answer: ANSWERS BELOW

Step-by-step explanation:

Part A.

At time = 1 hour, k(x) = 6 and f(x) = 4.

At time = 2 hours, k(x) = 12 and f(x) = 8.

At time = 3 hours, k(x) = 18 and f(x) = 12.

At time = 4 hours, k(x) = 24 and f(x) = 16.

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Part B.

Katherine travels farther within 4 hours. She travels 24 miles in 4 hours, which is 8 more than Julio travels.

- - -

Part C:

The function k(x) has a greater slope. It has a slope of 6, while k(x) has a slope of 4.