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. \(A = \pi r^2\)

\(\frac{16 \pi}{\pi} = \frac{\pi r^2}{\pi}\)

\(16 = r^2\)

\(4 = r\)

\(d=2r\)

\(d=2(4)\)

\(d = 8 in\)