Mathematics, 10.01.2020 23:31 diegovaldes25

Which situation represents a proportional relationship?

a) the cost of purchasing a basket of oranges for $1.80 per pound plus $5.00 for the basket.
b) the cost of purchasing oranges for $1.50 per pound plus a shipping fee of $0.25 per pound.
c) the cost of purchasing oranges for $1.90 per box of apples with a delivery charge of $3.50.
d) the cost of purchasing oranges for $1.75 per pound with a coupon for $1.00 off the total cost.

Answers: 1

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Answer from: tydukes10

option B) The cost of purchasing oranges for $1.50 per pound plus a shipping fee of $0.25 per pound.

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Verify each case

case A) The cost of purchasing a basket of oranges for $1.80 per pound plus $5.00 for the basket

Let

x ----> the pounds of oranges

y ---> the total cost

The linear equation is equal to

y=1.80x+5

The line not passes through the origin (because the y-intercept is not zero)

therefore

This situation not represent a proportional relationship

case B) The cost of purchasing oranges for $1.50 per pound plus a shipping fee of $0.25 per pound

Let

x ----> the pounds of oranges

y ---> the total cost

The linear equation is equal to

y=(1.50-0.25)x

y=(1.25)x

The line passes through the origin

therefore

This situation represent a proportional relationship

case C) The cost of purchasing oranges for $1.90 per box with a delivery charge of $3.50

Let

x ----> the number of box

y ---> the total cost

The linear equation is equal to

y=1.90x+3.50

The line not passes through the origin (because the y-intercept is not zero)

therefore

This situation not represent a proportional relationship

case D) The cost of purchasing oranges for $1.75 per pound with a coupon for $1.00 off the total cost

Let

x ----> the pounds of oranges

y ---> the total cost

The linear equation is equal to

y=1.75x-1.00

The line not passes through the origin (because the y-intercept is not zero)

therefore

This situation not represent a proportional relationship

Answer from: Quest

false

step-by-step explanation:

4y - 6 + 4y^2 - 9

before simplifying this contains 4 terms

after simplifying

4y -15 + 4y^2

it contains 3 terms

Answer from: Quest

answer: y=2x-3

step-by-step explanation:

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Which situation represents a proportional relationship?

a) the cost of purchasing a bask...

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