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Savatey [412]
3 years ago
9

Which situation represents a proportional relationship?

Mathematics
1 answer:
murzikaleks [220]3 years ago
6 0

Answer:

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

<u><em>Verify each case</em></u>

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

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Answer: 1 bulb

Step-by-step explanation:

Using the proportion of flawed bulbs in the first scenario, you can get the number of flawed bulbs in the other bath.

First scenario total bulbs = 2 + 36 = 38

Proportion of flawed bulbs = 2/38 = 1/19

In a batch of 19, the flawed bulbs are;

= 1/19 * 19

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3 0
2 years ago
Okay.
murzikaleks [220]
You would need 105 of sodium I found how much increase there was from 30 to 75 by doing 75/30 which is 2.5 that means the new amount of sodium would be 2.5 times 42 which is 105. You could also set up ratios and cross multiply like the picture I sent

8 0
3 years ago
Need Help Please, This One Is A Bit Difficult.
emmainna [20.7K]

Answer: 432 units²

Step-by-step explanation:

The figure is composed by two trapezoids.

The formula for calculate the area of a trapezoid is:

A=\frac{h}{2}(B+b)

Where "B" is the larger base, "b" is the smaller base and "h" is the height.

Let be A_f the area of the figure, A_1 the area of the trapezoid on the left and A_2 the area of the trapezoid of the right. Then the area of the figure will be:

 A_f=A_1+A_2

A_f=\frac{h_1}{2}(B_1+b_1)+\frac{h_2}{2}(B_2+b_2)

Substituting values, you get:

A_f=\frac{16units}{2}(25units+4units)+\frac{10units}{2}(25units+15units)=432units^2

<h3> </h3>

8 0
3 years ago
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lord [1]

Answer:

72 = x

Step-by-step explanation

154 is one of the degrees for that angle. And I seen 82 for the other one.

All you have to do is subtract 154 and 82 and you get 72.

8 0
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6) subtract 16 on both sides

then it should be x/4>18

then you would times 18 by 4 and get

c as the answer



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3 years ago
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