To solve this problem, we need to use the concept of inverse variation. Inverse variation means that as one quantity increases, the other quantity decreases proportionally. The relationship can be expressed as:

$$ t \propto \frac{1}{n} $$

where $ t $ is the time the dough lasts, and $ n $ is the number of pizzas made. This can be rewritten as:

$$ t \cdot n = k $$

where $ k $ is a constant.

Given:
- When $ n = 32 $, $ t = 5 $ hours.

First, we find the constant $ k $:

$$ k = t \cdot n = 5 \cdot 32 = 160 $$

Now, we need to find the time $ t $ when $ n = 40 $:

$$ t \cdot 40 = 160 $$

Solving for $ t $:

$$ t = \frac{160}{40} = 4 $$

So, the dough will last 4 hours if they need to make 40 pizzas. The correct answer is:

D. 4 hours

Question

To solve this problem, we need to use the concept of inverse variation. Inverse variation means that as one quantity increases, the other quantity decreases proportionally. The relationship can be expressed as:

$$ t \propto \frac{1}{n} $$

where $ t $ is the time the dough lasts, and $ n $ is the number of pizzas made. This can be rewritten as:

$$ t \cdot n = k $$

where $ k $ is a constant.

Given:
- When $ n = 32 $, $ t = 5 $ hours.

First, we find the constant $ k $:

$$ k = t \cdot n = 5 \cdot 32 = 160 $$

Now, we need to find the time $ t $ when $ n = 40 $:

$$ t \cdot 40 = 160 $$

Solving for $ t $:

$$ t = \frac{160}{40} = 4 $$

So, the dough will last 4 hours if they need to make 40 pizzas. The correct answer is:

D. 4 hours

Knowee AI · Accepted Answer