Starting from 130 feet away, a person on a bicycle rides towards a checkpoint and then passes it. The rider is traveling as a constant rate of 25 feet per second. The distance between the bicycle and the checkpoint is given by the equation d=|130-25t|. At what times is the bike 15 feet away from the checkpoint.

Question

Visualize an outdoor scene featuring a cycling path with clear markings. A Caucasian female cyclist, moving smoothly at constant speed, is shown. The path stretches both behind and in front of her. There is a significant notable landmark, like a tree with colorful leaves, symbolizing the checkpoint. The cyclist, initially at a considerable distance from the checkpoint, is depicted at multiple instances, including when she's 15 feet away from the checkpoint and once she has passed it. Please ensure all these elements are present but exclude any text or numbers.

Starting from 130 feet away, a person on a bicycle rides towards a checkpoint and then passes it. The rider is traveling as a constant rate of 25 feet per second. The distance between the bicycle and the checkpoint is given by the equation d=|130-25t|. At what times is the bike 15 feet away from the checkpoint.

a. 4.6 sec and 9.2 sec
b. 2.9 sec and 5.8 sec
c. 4.6 sec and 5.8 sec
d. 2.9 sec and 3.3 sec

Answer 1

For this question you can say d = 15 feet so we need the t then you can say :

15 = l 130 - 25t l ⇒ because of the absolute value you should say :
1) 130 - 25t = 15 ⇒ -25t = 15 - 130 ⇒ - 25t = -115 ⇒ t = 115/25 = 4.6 sec

2) 130 - 25t = - 15 ⇒ -25t = -15 - 130 ⇒ -25t = - 145 ⇒ t = 145/25 = 5.8 sec
so the answer is c :))
i hope this is helpful
have a nice day

Answer 2

your not helpful Damon just say the answer

Answer 3

damon is not helpful=confirmed

Answer 4

Thank you toof.

Answer 5

so what's the answer?

Answer 6

Anyone have all the answers for the test?????

Answer 7

he didn't help at all what r u on abt😭

Answer 8

I agree Damon you helped me

Answer 9

d = 130 - 25 t

or
d = -(130 -25 t) = -130 + 25 t

Answer 10