Question

Elene went to a store where you can scoop your own popcorn and buy as much as you want. She bought 10 ounces of spicy popcorn for 2.50. How much does popcorn cost per ounce? How much popcorn can you buy per dollar? Write two different equations that represent this situation. Use for ounces of popcorn and for cost in dollars.

Answer 1

Answer: See explanation

Step-by-step explanation:

Fron the question, we are informed that she bought 10 ounces of spicy popcorn for $2.50.

a. How much does popcorn cost per ounce?

1 ounce of popcorn = $2.50/10 = $0.25

b. How much popcorn can you buy per dollar?

Since 1 ounce of popcorn cost $0.25, $1 can buy popcorn worth:

= $1/$0.25

= 4 ounce of popcorn.

Answer 2

The relationship between the ounce of popcorn and the amount spent is an illustration of a linear function.

• The cost per ounce is $0.25
• The amount of popcorn for $1 is 4 ounces

From the question, we have:

$\mathbf{10oz - \ 2.50}$

(a) The cost per ounce

To do this, we simply divide both sides by 10

$\mathbf{Cost = \frac{\ 2.50}{10oz}}$

$\mathbf{Cost = \ 0.25/oz}$

Hence, the cost per ounce is $0.25

(b) Popcorn for $1

To do this, we simply divide both sides by 2.5

$\mathbf{Popcorn- \frac{10oz}{\ 2.50}}$

$\mathbf{Popcorn- 4oz/\ }$

Hence, the amount of popcorn for $1 is 4 ounces

(c) Represent as equations

In (a),  the cost per ounce is $0.25.

So, the equation is:

$\mathbf{y = 0.25x}$

In (b),  the amount of popcorn for $1 is 4 ounces

So, the equation is:

$\mathbf{x = 4y}$

Where: x represents the size of popcorn, and y represents the cost.

Read more about linear functions at:

https://brainly.com/question/21107621