Question

5 bags of candy cost $17.50, then how much did you pay per bag?
write an expression for \10 times the product of 12 and 14\
evaluate.
determine which values represent volume.
a) 129 in²
b) 3 ft³
c) 4 yd³
d) 88 in²
how do you know is a value is volume?
use the fact that 56 x 18 = 1008 to determine the product of 5.6 x 1.8 = ?

Explanation:

Step1: Calculate cost per bag

$\frac{\$17.50}{5}$

Step2: Write the required expression

$10 \times (12 \times 14)$

Step3: Evaluate the expression

First calculate $12 \times 14 = 168$, then $10 \times 168 = 1680$

Step4: Identify volume values

Volume uses cubic units ($^3$)

Step5: Calculate decimal product

Each factor is divided by 10, so total divide by $10 \times 10 = 100$: $\frac{1008}{100}$

Step6: Explain volume identification

Volume measures 3D space, uses cubic units.

Answer:

1. Cost per bag: $\$3.50$
2. Expression: $10 \times (12 \times 14)$; Evaluated value: $1680$
3. Volume values: b) $3 \text{ ft}^3$, c) $4 \text{ yd}^3$
4. $5.6 \times 1.8 = 10.08$
5. A value represents volume if it uses cubic units (raised to the power of 3), as volume measures the amount of 3-dimensional space an object occupies.