Question

Directions: Select ALL the correct answers.
Three football players from the Mustang junior football team each spent 20 minutes loading boxes of
food onto a truck for a local charity. The number of boxes, b, that each player loaded onto the truck is
proportional to the number of minutes. m. spent loading boxes.
- Alonzo loaded 14 boxes.
Bennett loaded one fourth as many boxes as Cory.
• Cory loaded twice as many boxes as Alonzo.
Select all of the true statements.
The equation that represents the number of boxes Alonzo loaded is
b= 0.71m.
The equation that represents the number of boxes Cory loaded is
b = 2m.
The proportional relationship b = " can be used to determine the
rate. r. at which the players loaded the boxes.
on that represents the number of boxes Bennett loaded is
b= 0.35m.
For each player. the proportional relationship b = mm can be used to
determine the rate. r. at which each player loaded the boxes.
Based on the rates of loading boxes onto the truck. Alonzo and
Bennett loaded boxes at the same rate.​

Answer 1

Answer:

b, that each player loaded onto the truck is

proportional to the number of minutes. m. spent loading boxes.

• Cory loaded twice as many boxes as Alonzo.

The equation that represents the number of boxes Cory loaded is

b = 2m.

Step-by-step explanation:

hope this helps

Answer 2

The true statements are:

• The equation that represents the number of boxes Alonzo loaded is b=0.7m
• The probability relationship b = rm can be used to determine the rate r at which the players loaded the boxes
• The equation that represents the number of boxes Bennett loaded is b=0.35m

What is the proportionality constant or rate of proportionality?

The relationship between two variables is given by proportionality. There may be a direct or inverse proportionality. The proportionality equation is given as

   x ∝ y

⇒ x = k·y

Where k is the rate of proportionality or proportionality constant. It is given as k = x/y.

Given data:

It is given that,

Three football players from the Mustang junior football team loaded boxes of food onto a truck of local charity.

The number of minutes they took for loading m = 20 minutes

Consider the number of boxes loaded as b

The three players are Alonzo, Bennett, and Cory

It is given that

b ∝ m

⇒ b = k.m

Thus, the equation of proportionality for this is b = k.m

The proportionality equation and rate of each player:

Player Alonzo:

It is given that,

Alonzo loaded 14 boxes. Ie., b = 14 and we have m = 20

Then,

b = k.m

⇒ 14 = 20k

⇒ k = 14/20

      = 0.7

∴ The rate at which the Alonzo loaded the boxes = 0.7

So, the equation that represents the number of boxes Alonzo loaded is

b = 0.7m

Player Cory:

It is given that,

Cory loaded twice as many boxes as Alonzo. Ie., b = 2×14 = 28 and we have m = 20

Then,

b = k.m

⇒ 28 = 20k

⇒ k = 28/20

      = 1.4

∴ The rate at which the Cory loaded the boxes = 1.4

So, the equation that represents the number of boxes Cory loaded is

b = 1.4m

Player Bennett:

It is given that,

Bennett loaded 1/4th as many boxes as Alonzo. Ie., b = $\frac{1}{4}$×14 = 7 and we have m = 20

Then,

b = k.m

⇒ 7 = 20k

⇒ k = 7/20

      = 0.35

∴ The rate at which the Bennett loaded the boxes = 0.35

So, the equation that represents the number of boxes Cory loaded is

b = 0.35m

Thus, the statements which are true are:

• The equation that represents the number of boxes Alonzo loaded is b=0.7m
• The probability relationship b = rm can be used to determine the rate r at which the players loaded the boxes
• The equation that represents the number of boxes Bennett loaded is b=0.35m

Learn more about the rate of proportionality here:

https://brainly.com/question/384004

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