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Marianna [84]
3 years ago
7

Starting from 105 feet away a person on a bicycle rides toward a checkpoint and then passes it.the rider is traveling at a const

ant rate of 35 feet per second.The distance between the bicycle and the checkpoint given by the equation is D=|105-35t|.at what times is the bike 60 feet away from the checkpoint?
A.1.3 sec and 2.6 sec
B.1.3 sec and 4.7 sec
c.1.1 sec and 2.6 sec
d.4.7 sec and 9.4 sec
WHO EVER ANSWERS IT FIRST AND RIGHT GETS BRAINIEST
Mathematics
2 answers:
mote1985 [20]3 years ago
8 0

Answer:

The correct option is B.

Step-by-step explanation:

It is given that starting from 105 feet away a person on a bicycle rides toward a checkpoint and then passes it.the rider is traveling at a constant rate of 35 feet per second.

The distance between the bicycle and the checkpoint given by the equation

D=|105-35t|

We have to find the times  at which the bike 60 feet away from the checkpoint.

Substitute D=60 i the given equation.

60=|105-35t|

\pm 60=105-35t

Case 1:

60=105-35t

Subtract 105 from both the sides.

60-105=-35t

-45=-35t

Divide both sides by -35.

1.2857=t

t\approx 1.3

Case 2:

-60=105-35t

Subtract 105 from both the sides.

-60-105=-35t

-165=-35t

Divide both sides by -35.

4.71428=t

t\approx 4.7

The bike is 60 feet away from the checkpoint at 1.3 sec and 4.7 sec. Therefore the correct option is B.fore the correct option is B.

dedylja [7]3 years ago
4 0
The answer is B. 1.3 sec and 4.7 sec
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