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kifflom [539]
3 years ago
10

David and Josh are both practicing for an upcoming swim tournament. Every week, David swims for 3x hours at an average speed of

x laps per hour. Josh swims 5 more hours per week than David, but at an average speed that is 4 laps per hour less than David's average speed.
Which of the following functions will give the total distance, in laps, that Josh swims each week?
Mathematics
2 answers:
Ugo [173]3 years ago
5 0
3x = 5(x-4)

 I am not sure about the equal sign though.
Alenkinab [10]3 years ago
5 0
<span>Answer: 3x^2 - 7x - 20

Explanation:

This questions has 4 answer choices to select the right one.

These are the answer choices:
</span>
<span>A) f(x) = 3x^2 - 17x + 20
B) f(x) = 3x^2 + 7x - 20
C) f(x) = 3x^2 - 7x - 20
D) f(x) = 3x^2 + 17x + 20</span><span>

Solution:

Translate the given word statements into algebraic expressions:


1) Every week, David swims for 3x hours at an average speed of x laps per hour =>

time = 3x
speed = x

2) Josh swims 5 more hours per week than David =>

time = 5 + 3x

speed that is 4 laps per hour less than David's average speed =>

speed = x - 4

</span>3) distance, in laps, that Josh swims each week, equal time * speed

=> distance = (3x + 5) (x - 4)

4) Expand the parenthesis:

a) distributive property: (3x)(x) + (3x)(-4) + 5(x) + 5(-4) = 3x^2 - 12x + 5x - 20 =

= 3x^2 - 7x - 20

Answer: 3x^2 - 7x - 20 (option C)

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Source - TutorEye


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