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jonny [76]
3 years ago
6

Jack works after school. Each day he is paid a set amount, plus an hourly wage. Look at the table. Choose the linear function f

Jack can use to find his pay. Hours 1 1.5 2 2.5 3 Pay 18 23 28 33 38 A. f(x) = 10x + 8 B. f(x) = 15x + 3 C. f(x) = 0.5x + 1 D. f(x) = x + 18
Mathematics
1 answer:
nekit [7.7K]3 years ago
7 0

Answer:

The correct linear equation is;

f(x) = 10x + 8

Step-by-step explanation:

To choose the correct linear function, we just need to take a specific point, then substitute in each of the equations given to get the one right

The correct one will be the one in which when the x-value is substituted, we will get the y-value

Let us pick (1,18)

Let us begin testing;

A. f(x) = 10x + 8

f(1) = 10(1) + 8 = 10 + 8 = 18

Let us use another point to test this

The second point is (1.5,23)

f(1.5) = 10(1.5) + 8

= 15 + 8 = 23

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2a - 3b = -11<br> a + 3b = 8
dlinn [17]

Answer:

b = 3 and a = -1

Step-by-step explanation:

You have your given equation:

2a - 3b = -11

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You need to find what a and b is.

To find b:

2a - 3b = -11

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I multiplied a + 3b = 8 by -2. When you multiply a number you have to multiply all of them. You have to choose a number that would cancel out all of a.

So now your equation would look like this when you solve for b:

2a - 3b = -11

-2a - 6b = -16

-------------------

a - 9 = -27 then you divide -9 to -27 which is 3 so b = 3.

To find a:

2a - 3b = -11

a + 3b = 8

I multiplied a + 3b = 8 by -1 and 2a - 3b = -11 by -1 as well.

Your equation will look like this when you solve for a:

-2a + 3b = 11

-1a - 3b = -8

------------------

-3a = 3 then divide -3 to 3 which is -1 so a = -1.

Check to see if you have the correct answer by plugging in the number you got for a and b into the equation and solve.

1. 2(-1) -3(3) = -11

 -2 - 9 = -11

2. -1 + 3(3) = 8

   -1 + 9 = 8

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Answer:

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