The amount Ben earns y varies directly with the number of hours he works X as shown in the graph. write a direct variation equation. identify the constant of variation and interpret it's meaning

Answers

Answer 1

Answer: Not as complicated if you understand direct variation.
The standard set up for direct variation is y=kx, which happens to be the case here. K stands for constant, which is what it is asking for. The constant is the ratio of y/x in direct variation and I can not solve that without seeing the graph, but the meaning of the constant of variation in this situation is The amount Ben earns per hour. Or in general The constant number multiplied by x to get y in the ratio between x and y in a direct variation situation.

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Suppose that you are a manager of a clothing store and have just purchased 100 shirts for $15 each. After a month of selling the shirts at the regular price, you plan to have a sale giving 30% of the original selling price. However ,you want to make a profit of $6 on each shirt at the sale price. What should you price the shirts at initially to ensure this?

Answers

He should set the original price at $27.30

When you say "Plan to have a sale giving 30% of the original selling price", I suppose it's taking away 30%? So taking away 30% is like $15 - $4.5 = $10.50
Adding $6 more is $16.50.
If you're saying the manager is selling the price 30% of $15 then the price is $4.50 Plus the $6, it should be $10.50

So the answer should either be $16.50 or $10.50
Hope this helps! :)

If there is the same slope but different y-intercepts can there paths ever cross?

Answers

if the gradient is the same but there are different y intersects, the straight lines will never cross but they will be parallel.the answer is they will never cross

No, because lines that have same slopes are parallel and parallel lines never cross. So they will not cross. Hope this helps.

Factor completely 10x5 + 4x4 + 8x3.Prime
2(5x5 + 2x4 + 4x3)
2x3(5x2 + 2x + 4)
2x(5x4 + 2x3 + 4x2)

Answers

Answer:

The second option is correct.

Step-by-step explanation:

The given expression is

$10x^5+4x^4+8x^3$

The factors of first term is

$10x^5=2* 5* x* x* x* x* x$

The factors of second term is

$4x^4=2* 2* x* x* x* x$

The factors of third term is

$8x^3=2* 2* 2* x* x* x$

The common factors are 2,x,x and x, therefore the greatest common factor is $2x^3$ .

$2x^3(5x^2+2x^2+4)$

Therefore the second option is correct.

10x^5 + 4x^4 + 8x^3
2x^3 ((10x^5)/(2x^3) + (4x^4)/(2x^3) + (8x^3)/(2x^3))
2x^3(5x^2 + 2x + 4)

The answer is: 2x^3(5x^2 + 2x + 4).

Which inequality best represents that ice cream at −5°C is cooler than ice cream at 4°C?−4°C > 5°C
−4°C < 5°C
4°C < −5°C
4°C > −5°C

Answers

(<) this means less than
(>) this means greater than
So since the question doesnt say anything about -4°C we can automatically cross out A and B
They are both negative! but when you have a negative. Its going to be less than a positive
So this means 4°C is greater than -5°C
or in other words
D.) 4°C > -5°C
hope this helps!
and dont forget 2
MARK ME BRAINLIEST!
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Answer:

Step-by-step explanation: <=less than >=greater than. they want -5 is greater than 4. so it would be -5>4

1. In a certain county, the number of Charter Schools is eleven less than twice the number of Alternative Schools. There are 35 Charter Schools in the county. Which of the following equations would you use to find the number of Alternative Schools, a, in the county?