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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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3 years ago
A new American graduate is contemplating buying a Japanese, German, or an American car. No matter the type of car, he plans to b
Svetach [21]

Answer:

The best option is to buy Japanese Car.

Step-by-step explanation:

Fuel usage per year is 150000/ 8 = 18750 miles per year

Fuel cost (year 1 -8) = $3.0, $3.06, $3.12, $3.18, $3.25, $3.312, $3.38, $3.5

Japanese Car:

Fuel usage 18750 / 23 = 815 * $3 = $2446  

Fuel charges (year 1 -8) = $2445, $2494, $2623, $2758. $2900, $3050, $3207, $3372

Repair Cost (year 1 - 8) = $700, $721, $742, $764, $787, $811, $835, $860

Insurance cost (Year 1 - 8) = $700, $714, $728, $742, $757, $772, $788, $804

Present value of cost at 5% = 24674.07

Cost of car is $30,000

Total cost = $54674.07

Amercian Car:

Cost $35,000

Fuel usage 18750/20 = 937.5 * $3 per gallon = $2812.5.

Fuel charges (year 1 -8) = $2812, $2913, $2986, $3011. $3098, $3124, $3176, $3208

Repair Cost (year 1 - 8) = $800, $894, $921, $978, $1109, $1176, $1207, $1301

Insurance cost (Year 1 - 8) = $800, $827, $876, $898, $908, $932, $954, $934

Present value of cost at 5% = 25302.18

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German Car:

Cost = $45,000

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Present value of cost at 5% = 27105.73

Cost of car is $45,000

Total cost = $72105.

6 0
3 years ago
I need help asap pls
meriva

Answer:

\displaystyle 36° = m∠NQS

Step-by-step explanation:

Apply the Midsegment Theorem:

\displaystyle \frac{1}{2}[96 - 4x]° = [5x + 6]° → [48 - 2x]° = [5x + 6]° → -42 = -7x; 6 = x \\ \\ [48 - 2(6)]° = [48 - 12]° = 36° \\ \\ AND/OR \\ \\ [5(6) + 6]° = [30 + 6]° = 36°

I am joyous to assist you at any time.

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3 years ago
Solve for the variable
krek1111 [17]

Answer:

G = 2/3

Step-by-step explanation:

-13G + 10 = 2(-5G + 4)  Distribute the 2 to (-5G + 4)

-13G + 10 = -10G + 8  

+13G           +13G         Add 13G to both sides

10 = 3G + 8

-8           -8                  Subtract 8 from both sides

2 = 3G                          Divide both sides by 3

2/3 = G

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3 years ago
Jerome is going to draw a marble from the bag shown below, replace it, and then draw another marble. What is the probability tha
alexira [117]
Marbles in a bag: 3 green, 4 yellow, 5 blue, 8 pink.

Event A - get a green or yellow marble
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Probability of combined events is 
P(A) \times P(B)=\frac{7}{20} \times \frac{2}{5} =\frac{7}{50}
7 0
3 years ago
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