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nevsk [136]
3 years ago
7

t) A car rental agency rents 210 cars per day at a rate of 27 dollars per day. For each 1 dollar increase in the daily rate, 5 f

ewer cars are rented. At what rate should the cars be rented to produce the maximum income, and what is the maximum income?
Mathematics
1 answer:
Vlad [161]3 years ago
5 0

Answer:

$34.5

$5,951.5

Step-by-step explanation:

P(x)=27+x

Quantity (x)=210-5x

Income(y)=price×quantity

=(27+x)(210-5x)

=5670-135x+210-5x^2

y= -5x^2+75x+5670

dy/dx= -10x+75=0

-10x=-75

x=-75/-10

=7.5

x=7.5

Maximum income=27+x

=27+7.5

=$34.5

Total income=(27+x)(210-5x)

=(27+7.5){210-5(7.5)}

=(34.5)(210-37.5)

=(34.5)(172.5)

=$5,951.25

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The table shows the input and output of a function Table(input:3,4,6,11. Output:5,7,11,21) (a) Explain what makes this set of da
Maslowich

Answer:

(a) The data set is a function, since for each input value {3,4,6,11} there is a single output value {5,7,11,21}

(B) A function is a mathematical relationship that associates one or more inputs with a single output value. So that the data set is not a function, there should be - for one or more values ​​of the input - more than one output.

for example, if for the input value {3} there were two outputs {5, -5} then, the data set would not be a function.

The frelation y ^ 2 = x is not a function because:

When x = 1, y = +1 and y = -1.

(c) The set of data provided can be represented by the equation of a line of the form y = mx + b

The slope is:

m=\frac{y_2-y_1}{x_2-x_1}

m =\frac{7-5}{4-3}

m = 2

b = y_1-mx_1

b = 5 - 2*3

b = -1

Then, the function is:

y = 2x-1

You can substitute any of the points shown in the equation and check that equality is satisfied, for example:

(11 , 21)

y = 2 (11) -1

y = 22-1

y = 21. The equation is satisfied. The same goes for the rest of the values.

4 0
3 years ago
Help with question below
Ludmilka [50]
The line is leaning to the left, so the slope is negative, eliminate A and D
when x is 3, y is -2, so C is the correct answer
4 0
3 years ago
I need some help with my math :(
Svetlanka [38]

Answer:

all work is shown and pictured

5 0
3 years ago
Solve. d + 4 = –1 A. –5 B. –3 C. 3 D. 5
77julia77 [94]
The answer to your question is -5
7 0
3 years ago
Read 2 more answers
Can you guys please help me
makvit [3.9K]

Answer:

1302

Step-by-step explanation:

14 * 93 = 1302

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3 years ago
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