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torisob [31]
3 years ago
5

What does the y mean in y=mx+c

Mathematics
1 answer:
zubka84 [21]3 years ago
6 0
<span>y=mx+c
General equation

m is the slope
c is the intercept

So, when x axis is zero, the value in y axis will be equal to c.


</span>
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A scuba diving company currently charges $100per dive. On average, there are 30 customers per day. The company performed a study
Semenov [28]

A. Total Revenue (R) is equal to price per dive (P) multiplied by number of customers (C). We can write R=PC.

Per price increase is $20. So four price increase is $20*4=$80. Hence, price per dive is 100+80=$180.

Also per price increase, 2 customers are reduced from 30. For 4 price increases, 4*2=8 customers are reduced. Hence, total customers is 30-8=22.

So Total Revenue is:

R=180*22=3960


B. Each price increase is 20. So x price increase is 20x. Hence, new price per dive would be equal to the sum of 100 and 20x.

Also per price increase, customers decrease by 2. So per x price increases, the customer decrease is 2x. Hence, new number of customers is the difference of 30 and 2x.

Therefor we can write the quadratic equation for total revenue as the new price times the new number of customers.

R=(100+2x)(30-2x)=-40x^{2}+400x+3000


C. We are looking for the point (x) at which the equation modeled in part (B) gives a maximum value of revenue (y). That x value is given as x=-\frac{b}{2a}, where a is the coefficient of x^{2} and b is the coefficient of x. So we have,

x=-\frac{b}{2a}=- \frac{400}{(2)(-40)}=5

That means, the greatest revenue is achieved after 5 price increases. Each price increase was 20, so 5 price increase would be 5*20=100. So the price that gives the greatest revenue is 100+100=200.

ANSWERS:

A. $3960

B. R=-40x^{2}+400x+3000

C. $200

4 0
3 years ago
Jacks family bought five concert tickets for $250 what was the price per ticket?
Mashcka [7]

answer : 0.02

$250 ÷ 5 = 0.02

5 0
2 years ago
Read 2 more answers
C=2(3.14)r; c=14(3.14) solve for r
tekilochka [14]

Answer:

c=2(3.14)r

given c=14(3.14), then r

make r the subject formula and substitute given c=14(3.14)

r=c/2(3.14)

r=14(3.14)/2(3.14)

r=7

Step-by-step explanation:

7 0
3 years ago
Help me, please and ty
Ira Lisetskai [31]

Answer:

3/5, 30%, 0.1

Step-by-step explanation:

0.4 + 1/2 + 40% = 0.4 + 0.5 + 0.4 = 1.3

3/4 + 0.25 + 1/2 = 0.75 + 0.25 + 0.5 = 1.5

3/5 + 30% + 0.1 = 0.6 + 0.3 + 0.1 = 1

The last choice is a probability complement because all values add to 1.

8 0
3 years ago
You want a ps4. Your parents gave you a birthday present of 100$. You want to save $2.50 for every hour you work. How many hours
vladimir2022 [97]
You will need to work 120 hours in order to earn 300$ to get the ps4.
5 0
3 years ago
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