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den301095 [7]
3 years ago
14

After 4 hours, a car wash fundraiser had raised $180. After 6 hours, the students had raised $280. Assuming a linear function, w

rite an equation in the form y=mx+b that shows the profit earned washing cars for x hours.
Mathematics
2 answers:
RSB [31]3 years ago
6 0

Step-by-step explanation:

(1) Formally....

The two data points are (4,180) and (6,280).

The slope is (y2-y1)/(x2-x1) = (280-180)/(6-4) = 100/2 = 50; so the equation is y = 50x+b.

Use either data point (I chose the first) to determine the value of b:

180+=+50%284%29%2Bb

180+=+200%2Bb

 

b+=+-20

The equation is y = 50x-20.

Informally....

(You should understand that the algebraic solution is just a formalization of common sense.)

The additional 2 hours brought in an additional $100; the rate is $50 per hour.

After 4 hours, the actual dollar amount was $180. $50 per hour for 4 hours would be $200; so the dollar amount is $20 less than $50 per hour.

$20 less than $50 per hour in algebraic notation is

50x-20

daser333 [38]3 years ago
5 0
First we need to find the slope of the linear function. To do so, we can use the following equation:

m = (y1 - y2) / (x1 - x2)

where (x1, y1) and (x2, y2) are the two points.

In this case, time in hours is along the x-axis, and money in dollars is along the y-axis.

The two points are (4 hours, $180) and (6 hours, $280). Now plug the values into the slope equation:

m = (180 - 280) / (4 - 6) = (-100)/(-2) = 100/2 = 50.

Now plug one of the points and the slope into the equation for point-slope form:

y - y1 = m (x - x1)

y - 180 = 50(x - 4)

Solve for y to get the equation in slope intercept form:

y - 180 = 50x - 200


ANSWER:


y = 50x - 20
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shutvik [7]

Answer:

m\angle N = 32\degree

m\widehat {NQ}=106\degree

Step-by-step explanation:

By inscribed angle theorem:

m\angle N = \frac{1}{2} \times m\widehat {MP}

m\angle N = \frac{1}{2} \times 64\degree

m\angle N = 32\degree

Again by inscribed angle theorem:

m\angle P= \frac{1}{2} \times m\widehat {NQ}

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m\widehat {NQ}=106\degree

5 0
2 years ago
What is the slope G(8,1) & H(8,-6).
Gennadij [26K]
M=slope=(y2-y1)/(x2-x1)=(-6-1)/(8-8)=-7/0 which is technically undefined.  This is just a vertical line namely:

x=8  (you can think of a vertical line as having infinite slope)
6 0
2 years ago
Shishir bought 4000 orange at 70 paisa each. But 400 of them were rotten. He sold 2000 oranges at 90 paisa each.If he plans to m
Ipatiy [6.2K]

Answer:

He needs to sell the rest of the oranges at 75 paisa each.

Step-by-step explanation:

Consider the given information that, Shishir bought 4000 orange at 70 paisa each.

Note: 1 rupees = 100 paisa

Thus, 70 paisa = 70/100 rupees = 0.70 rupees

Therefore, the cost price of 4000 oranges is:

4000×0.70 rupees = 2800 rupees

The selling price of 2000 oranges is:

2000×0.90 rupees = 1800 rupees

The number of oranges now Shishir have:

4000 - 2000 - 400 = 1600

He wants to make a profit of RS 200. Thus the selling price of 4000 oranges should be:

2800 rupees + 200 rupees = 3000 rupees

He earned 1800 rupees by selling 2000 oranges at 90 paisa. So, the remaining amount that he needs to make with 1600 oranges is:

3000 rupees - 1800 rupees = 1200 rupees

Therefore, the cost of one orange is:

1600 oranges = 1200 rupees

1 orange = 1200/1600 rupees

1 orange = 0.75 rupees

Hence, he needs to sell the rest of the oranges at 75 paisa each.

4 0
3 years ago
Heeeeeeeeeeeeeeeeelp
malfutka [58]

Answer:

A no-doest pass the vertical line test

Step-by-step explanation:

the vertical line test is a test saying any line is functional if when several vertical lines are drawn, the function does not pass through any line more than once

hope this helps:)!

3 0
3 years ago
A cube has a surface area of 384 square inches. What is the edge lenth of the cube? Explain pls
m_a_m_a [10]
Since there are 6 sides to a cube we can divide the total surface area by 6 to find the area of a single side

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3 years ago
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