Determine the function that represents the relationship.

Mathematics

2 answers:

soldier1979 [14.2K]3 years ago

8 0

Answer:

Option B

Step-by-step explanation:

To solve these kind of question we just simply keep on inserting the values of x and if we get the required value of y that is in the table that equation is our answer, For example lets take Option A,

y = 8x

If we insert x = 0 we get,

y = 8(0)

y=0

but in the table it says we get 14 so option A is incorrect

Like this we keep checking for more values and all the values of x satisfy our equation in Option B like this,

$y=8x+14\\y=8(0)+14\\y= 14\\\\y=8x+14\\y=8(1)+14\\y=8+14\\y=22\\\\y=8x+14\\y=8(2)+14\\y=16+14\\y=30\\$

and so on so Option B is the answer

Elenna [48]3 years ago

6 0

B because if we use slope formula y2-y1/x2-x1 we get 8 and they already gave us the yintercept as 14

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asambeis [7]

Answer:

Only one

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3 years ago

There are two mixtures. One mixture contains 5% alchol and the other mixture contains 12% alchol. How much of each should be mix

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]