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2 years ago

Quick algebra 1 question for 50 points!

Mathematics

2 answers:

Ipatiy [6.2K]2 years ago

3 0

Answer:

d: y=5x

Step-by-step explanation:

Since we know a few points: (2,10), (3,15), (4,20), we can use two of them to first find the slope. The equation for the slope is (Increase in y)/(increase in x).

1. Slope between (2,10) and (3,15) is 5/1 which is 5. So the slope will be 5.

2. With the slope, we know that our equation will be: y=5x+b. To find b, we can replace x and y with another point. 20 = 5(4)+b. --> 20 = 20 +b. Now we know that b equals 0.

Our final equation will be y = 5x.

RECHECKING!

I'll recheck whether my answer is right or not using Desmos (A online graphing calculator).

I added an image down below, and I drew the points in blue. This shows that since the graph crosses all three points, it is correct.

WHY y=1/5x IS NOT CORRECT (based on your comments)

If you look at the points, the relationship between x and y is not 1/5. If you multiply something from x, it should become 10.

--> 2 times __ = 10

--> 3 times __ = 15

--> 4 times __ = 20

And clearly, __ will be 5. If it becomes 1/5, we won't get the right number of y.

This is why y=1/5 is not correct.

Hope this helps!

Solnce55 [7]2 years ago

3 0

Answer:

b. y=1/5x best represents this data

Step-by-step explanation:

It represents the data best because y is 5 times greater than x on the chart

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hichkok12 [17]

Answer:

to make 1000 gallons with 10% alcohol, we need 714.3 gallons of mixture that contains 5% alcohol and 285,7 gallons of mixture that contains 12% alcohol.

Step-by-step explanation:

According to the statement, there are two mixtures. One mixture contains 5% alcohol and the other contains 12% alcohol.

We want to make 1000 gallons with 10% alcohol, so we have the following system of equations:

A + B = 1000 gallons. [1]

0.05A + 0.12B = 0.1(1000) ⇒ 0.05A + 0.12B = 100 [2]

(Where 'A' represents the mixture that contains 5% alcohol and 'B' the one that contains 12% alcohol).

Solving the system of equations:

A + B = 1000 ⇒ A = 1000 - B [3]

[3] → [2]

0.05(1000 - B) + 0.12B = 100 ⇒ 50 - 0.05B + 0.12B = 100

⇒ 0.07B = 50 ⇒ B = 714.28 ≈ B=714.3 [4]

[4] → [1]

A + B = 1000 ⇒ A + 714.3 = 1000 ⇒ A = 285,7

Therefore, to make 1000 gallons with 10% alcohol, we need 714.3 gallons of mixture 'A' and 285,7 gallons of mixture 'B'

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