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4vir4ik [10]
3 years ago
15

Charlie runs a book rental business. He currently charges $3 per book and rents out an average of 38 books a day.

Mathematics
1 answer:
liberstina [14]3 years ago
7 0

Answer:

b(x) = (3+0.5x) (38-4x)

Step-by-step explanation:

Let the generated revenue per day be b(x)

Let x be the number for every 50cents($0.5) price increase

Formula to be used to generate the revenue generated is expressed using the formula:

b(x) = Price × Quantity

Next is to derive the price and quantity function in terms of x.

For the price:

If he currently charges $3 per book

Let derive the price function for the model and x number of price increase for every 50 cents, then

Price = ($0.5 of x)+$3

Price = $3+$0.5x

Price = $(3+0.5x)

For the quantity:

Number of books rent out per day = 38

If for every 50cents increase in rental price x, the average business can expect to lose 4 rentals a day, then the total lost per quantity = 4x

Quantity per time = Number of books rent out daily - loss on each book

Quantity = $(38-4x)

Next is to substitute the price and quantity function into the revenue formula above:

Revenue = Price × Quantity

Revenue = (3+0.5x)(38-4x)

Hence the equation that models this scenario, where b(x) is the revenue generated and x is the number of 50 price increases is b(x) = (3+0.5x)(38-4x)

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Keith_Richards [23]

Answer:

the value of x to the nearest tenth is 12 * x

5 0
2 years ago
Which recursive formula can be used to generate the sequence shown, where f(1) = 5 and n > 1?
Degger [83]

The recursive formula a_n = a_{n-1}-6 can be used to generate the shown sequence

Step-by-step explanation:

Recursive formula is the formula that is used to generate the next term of a sequence using previous term.

The general form of arithmetic sequence's recursive formula is:

a_n = a_{n-1}+d

Given

5,-1,-7,-13,-19

Here

a_1 = 5\\a_2 = -1\\a_3 = -7

First of all we have to find the common difference of the sequence.

So,

d = a_2 -a_1 = -1-5 = -6\\d = a_3-a_2 = -7+1 = -6

Putting the value of d in the general recursive formula

a_n = a_{n-1}-6

Hence,

The recursive formula a_n = a_{n-1}-6 can be used to generate the shown sequence

Keywords: Sequence, arithmetic sequence

Learn more about arithmetic sequence at:

  • brainly.com/question/3375830
  • brainly.com/question/3398261

#LearnwithBrainly

8 0
3 years ago
Read 2 more answers
WHICH IS NOT A LINEAR FUNCTION ​
Tom [10]

Answer:

OPTION C

Step-by-step explanation:

IN OPT. A- 2 IS MULTIPLED IN EACH NO.

IN OPT.B-2 IS MULTIPLED

IN OPT.D-1 IS ADDED

IN OPT.E-2 IS ADDED

4 0
2 years ago
Match the equation with the step needed to solve it.
ziro4ka [17]

To solve this, you need to isolate/get the variable "m" by itself in the equation:

1. 2m - 1 = 3m    Subtract 2m on both sides to get "m" on one side of the equation

2m - 2m - 1 = 3m - 2m

-1 = m

2. 2m = 1 + m     Subtract m on both sides to get "m" on one side of the equation

2m - m = 1 + m - m

m = 1

3. m - 1 = 2       Add 1 on both sides to get "m" by itself

m - 1 + 1 = 2 + 1

m = 3

4. 2 + m = 3   Subtract 2 on both sides to get "m" by itself

m = 1

5. -2 + m = 1      Add 2 on both sides to get "m" by itself

m = 3

6. 3 = 1 + m     Subtract 1 on both sides to get "m" by itself

2 = m

8 0
3 years ago
The diagram shows the universal set U = {parallelograms}. Set A represents parallelograms with four congruent sides, while Set B
alexdok [17]

Answer:

U  ={ Parallelograms}

A= { Parallelogram with four congruent sides}={ Rhombus,Square}

B ={ Parallelograms with four congruent angles} ={ Rectangle, Square}

So, AB= { Square}

So among all the parallelograms "Square" is the only parallelogram which has all congruent sides as well as all congruent angles.



5 0
3 years ago
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