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Please I need help with this question what’s the output of 72

1 Answer

4 votes

Let

x -----> the thing you are in control

y -----> the result of that thing

we ahve the ordered pairs

(3,40) and (6,61)

I will assume that is a linear relationship between x and y

so

Step 1

Find the slope or unit rate

the formula to calculate the slope between two points is equal to

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

we have

(x1,y1)=(3,40)

(x2,y2)=(6,61)

substitute in the formula

m=(61-40)/(6-3)

m=21/3

m=7

step 2

Find the equation of the linear equation

we know that'the equation of a line in point slope form is equal to

y-y1=m(x-x1)

we have

m=7

(x1,y1)=(3,40)

substitute

y-40=7(x-3)

y-40=7x-21

y=7x-21+40

y=7x+19

Remember that

the variable x is the input

the variable y is the output

so

The question is what’s the output of 72

so

For x=72

substitute in the equation

y=7(72)+19

y=523

The output is 523

User ClayMontgomery
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