Question

The last one need the right answer please

Answer 1

Part 1) The unit rate is
`16(dollars)/(ounce)`

Part 2) The unit rate is
`(1)/(4)(dollars)/(ounce)`

Part 3) The unit rate is
`(1)/(4)(dollars)/(ounce)`

Part 4) The unit rate is
`4(dollars)/(ounce)`

see the attached figure

Explanation:

we know that

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

`m=(d2-d1)/(n2-n1)`

where

d ----> number of dollars (dependent variable or output value)

n ---> number of ounces (independent variable or input value)

Remember that the slope of the linear equation is the same that the unit rate

Verify each case

1) we have

`d=16n`

This is a proportional relationship between the variables d and n

The slope is

`m=16(dollars)/(ounce)`

therefore

The unit rate is
`16(dollars)/(ounce)`

2) we have

First table

take two points from the table

(4,1) and (16,4)

substitute in the formula of slope

`m=(d2-d1)/(n2-n1)`

`m=(4-1)/(16-4)`

`m=(3)/(12)(dollars)/(ounce)`

simplify

`m=(1)/(4)(dollars)/(ounce)`

therefore

The unit rate is
`(1)/(4)(dollars)/(ounce)`

3) we have

`n=4d`

This is a proportional relationship between the variables d and n

isolate the variable d

`d=(1)/(4)n`

The slope is

`m=(1)/(4)(dollars)/(ounce)`

therefore

The unit rate is
`(1)/(4)(dollars)/(ounce)`

4) we have

Second table

take two points from the table

(1,4) and (2,8)

substitute in the formula of slope

`m=(d2-d1)/(n2-n1)`

`m=(8-4)/(2-1)`

`m=4(dollars)/(ounce)`

therefore

The unit rate is
`4(dollars)/(ounce)`