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m_a_m_a [10]
3 years ago
5

An equipment rental business currently charges $32.00 per power tool rental and averages 24 rentals a day. The company recently

performed a study and found that for every $2.00 increase in rental price, the average number of customers decreased by one rental.
The company determined that the function f(x) = (32 + 2x)(24 – x) can be used to represent the total revenue earned from the rentals, where x represents the number of rental price increases and f(x) represents the revenue earned.
Part A: Explain what the expressions (32 + 2x) and (24 – x) represent in the given scenario.
Part B: What is the revenue after 3 rental price increases? Show your work or explain how you found your answer.
Part C: What rental price would give the maximum revenue for the company?
Mathematics
1 answer:
pogonyaev3 years ago
8 0
Part a I think sorry if I’m wrong
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andreyandreev [35.5K]

Answer:

For example, 8f + 4g is one of the most used expression

Another example is 4 (2f + g), is correct too

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Help Immediately! 98 points!!!!!!!
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4 0
3 years ago
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Roger can run one mile in 8 minutes. jeff can run one mile in 6 minutes. if jeff gives roger a 1 minute head​ start, how long wi
Anastasy [175]
Recall your d = rt, distance = rate * time.

now, if Roger can do 1 mile in 8 minutes, so in 1 minute, he has done then 1/8 of a mile, so his rate is 1/8 miles per minute.

if Jeff can do 1 mile in 6 minutes, he's faster, in 1 minute he has done 1/6 of a mile, so his rate is 1/6 miles per minute.

now, when Jeff catches up with Roger, the distance covered by both will be the same, say "d" miles, because, at that millisecond, Jeff will be neck and neck with Roger, and their covered distance will be the same.

now, Jeff is generous and let Roger roll on for 1 minute before him, so, by the time time Roger has covered "d" miles, he has been running for say "t" minutes.

however, since Jeff started later by 1 minute, he hasn't been running for "t" minutes, but for "t - 1" minutes.

\bf \begin{array}{lccclll}
&\stackrel{miles}{distance}&\stackrel{mpm}{rate}&\stackrel{minutes}{time}\\
&------&------&------\\
Roger&d&\frac{1}{8}&t\\\\
Jeff&d&\frac{1}{6}&t-1
\end{array}
\\\\\\
\begin{cases}
\boxed{d}=\frac{1}{8}t\\\\
d=\frac{1}{6}(t-1)\\
------\\
\boxed{\frac{1}{8}t}=\cfrac{t-1}{6}
\end{cases}
\\\\\\
\cfrac{t}{8}=\cfrac{t-1}{6}\implies 6t=8t-8\implies 8=2t\implies \cfrac{8}{2}=t\implies \boxed{\stackrel{mins}{4}=t}
4 0
3 years ago
Hank's gas tank holds 18.5 gallons. If the tank has 6 gallons of gasoline in it, what percent of the tank is empty?
sergij07 [2.7K]

18.5 - 6 = 12.5 gallons empty

12.5 / 18.5 = 0.676

0.676 x 100 = 67.6%

Answer: 67.6%

8 0
3 years ago
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Which of the g-values satisfy the following inequality?
sleet_krkn [62]

Answer:

B: g=5

C: g=6

Step-by-step explanation:

Given

7 \ge 12 - g

Required

All possible values of g

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7 \ge 12 - g

Collect like terms

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Swap both terms

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This implies that g is greater than of equal to 5

i.e.

g= \{5,6,7.....\}

Hence:

(b) and (c) are correct

8 0
3 years ago
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