The **domain **and the **range **of the function describes the possible profit or

loss from the sale of popcorn and the number of **popcorn **units.

The correct responses are;

- C. The function is <u>discrete</u>

- D. The function is; <u>y = 1.5·x - 32</u>

- E. The domain is; <u>0 ≤ x ≤ 150</u>

- F. The loss when non of the popcorn is sold is <u>$-32</u>

- G. The profit is<u> $193</u>

- H. The range is;<u> -32 ≤ y ≤ 193</u>

**Reasons**:

The question parameters are;

The price of a popcorn =** $1.5**

Number of popcorn he purchases = **150**

Total profit made =** $5.50**

The number of containers sold = **25**

Therefore;

C. **Given **that the **number **of **containers **sole is countable, the function will be <u>discrete</u>.

D. Cost of the containers = **Revenue - Profit **

Which gives;

Cost of the containers = 1.5 × 25 - 5.5 = **32**

The given function is therefore;

<u>y = 1.5·x - 32</u>

E. The **domain **is the **150 containers **which gives;

The domain =<u> 0 ≤ x ≤ 150</u>

F. When no **popcorn **is sold, we have;

x = 0, which gives;

y = **1.5 × 0 - 32 **= -32

If he does not sell any popcorn, the loss is **$32**

G. If all the **popcorn **are **sold**, we have;

x = **150**

Therefore;

y =** 1.5 × 150 - 32** = 193

The **profit **if all the popcorn are sold = <u>$193</u>

H. The **range **of the function are the **possible **<em>y</em> values, which is the possible **profit **or loss, which gives;

The range =<u> -32 ≤ y ≤ 193</u>

Learn more about** linear function **here:

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