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The table of values shown below represents a linear function. Which of these points could also be an ordered pair in the table,

maks197457 [2]

Answer:

(18,27) , because the rate of change of the function is $\frac{4}{3}$

Step-by-step explanation:

step 1

Find the slope of the linear equation

Looking at the table

we have the points (0,3) and (3,7)

The slope is equal to

$m=(7-3)/(3-0)=\frac{4}{3}$

step 2

Find the equation of the line in slope intercept form

$y=mx+b$

where

m is the slope

b is the y-intercept

we have

$m=\frac{4}{3}$

$b=3$ -----> point (0,3) is the y-intercept

substitute

$y=\frac{4}{3}x+3$

The rate of change of the linear equation is equal to $\frac{4}{3}$

Remember that

If a ordered pair is a solution of the linear equation, then the ordered pair must satisfy the linear equation

Verify

1) point (18,27)

substitute the value of x and the value of y in the linear equation

$27=\frac{4}{3}(18)+3$

$27=24+3$

$27=27$ -----> is true

so

The ordered pair is a solution of the linear equation

therefore

The point (18,27) could also be an ordered pair in the table

2) point (27,18)

substitute the value of x and the value of y in the linear equation

$18=\frac{4}{3}(27)+3$

$18=36+3$

$18 \neq 39$ -----> is not true

so

The ordered pair is not a solution of the linear equation

therefore

The point (27,18) could not be an ordered pair in the table

3 0

3 years ago

Read 2 more answers

19

allsm [11]

Answer:

Use the information given to write an equation in standard form.

Slope is -3, and (0, -4) is on the line.

Step-by-step explanation:

8 0

3 years ago

ariane borrows $400 on a 4-year loan. she is charged 5% simple interest per year . How much interest is she charged for 4 years?

vodomira [7]

Answer:

Interests charged for 4 years: $80
Total amount to pay back:$480

Step-by-step explanation:

To know the future value of an specific amount that is borrowed from a bank we use the following equation: $FV= PV\imes{(1+n\times{i})}$ , where FV is future value, PV present value, n the amount of periods and i the interest rate.
In this particular case, the present value of the loan is $400, n=4 (4 years), i=5%. Then the future value equals: $FV= 400\times(1+4\times0.05)$ . Then FV= $480, which is the total amount of money she would have to return in 4 years.
The interest paid can be calculated as the total amount paid ($480) minus the inicial loan ($400), which means that total interests paid= FV- PV= $80.