Applications with Decimals Exercises

1. Answer the following questions.

a) A car rental company charges $\$22.75$ per day and $\$0.15$ per mile. How much does it cost to rent a car for one week to drive a total of $714$ miles?

2. What number must be multiplied to $3.801$ to get $3.804801$?

3. A pay as you call cell phone company charges $\$0.50$ per minute for the first $10$ minutes and $\$0.12$ for each additional minute. How much will a $30$ minute phone call cost?

4. A circle has an area of $16 \pi\ \text{in}^{2}$. What is its diameter?

Source: Algebra2Go, https://www.saddleback.edu/faculty/Lperez/Algebra2Go/prealgebra/decimals/eqDeciHW.pdf
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1. $\begin{aligned} \text { Total Cost } &=7(22.75)+714(0.15) \\ &=159.25+107.10 \\ &= 266.35 \end{aligned}$

2. $\begin{aligned} \frac{3.801 \cdot x}{3.801} &=\frac{3.804801}{3.801} \\ x &=1.001 \end{aligned}$

3. $\begin{aligned} \text { First } &+\text { Additional } \\ 30=10 &+ 20 \\ \text { Total Cost } &=10(0.50)+20(0.12) \\ &=5.00+2.40 \\ &=7.40 \end{aligned}$

4. $A = \pi r^2$
$\frac{16 \pi}{\pi} = \frac{\pi r^2}{\pi}$
$16 = r^2$
$4 = r$
$d=2r$
$d=2(4)$
$d = 8 in$