MATH SOLVE

3 months ago

Q:
# The table below shows the cube roots of different numbers:Number(x) 8 27 64 125Cube root(y) 2 3 4 5Part A: Does the table represent y as a function of x? Justify your answer. (5 points)Part B: The total cost f(x), in dollars, for renting a bike for x hours is shown below:f(x) = 10 + 20xWhat is the value of f(100), and what does f(100) represent? (5 points)

Accepted Solution

A:

part A)[tex]\bf \begin{array}{|c|cccccc|ll} \cline{1-7} x&8&27&64&125&&x\\ \cline{1-7} y&\stackrel{\sqrt[3]{8}}{2}&\stackrel{\sqrt[3]{27}}{3}&\stackrel{\sqrt[3]{64}}{4}&\stackrel{\sqrt[3]{125}}{5}&&\sqrt[3]{x} \\ \cline{1-7} \end{array}~\hspace{10em}y = \sqrt[3]{x}[/tex]part B)f(x) = 10 + 20xso if you rent the bike for a few hours that is1 hr.............................10 + 20(1)2 hrs..........................10 + 20(2)3 hrs..........................10 + 20(3)so the cost is really some fixed 10 + 20 bucks per hour, usually the 10 bucks is for some paperwork fee, so you go to the bike shop, and they'd say, ok is 10 bucks to set up a membership and 20 bucks per hour for using it, thereabouts.f(100) = 10 + 20(100) => f(100) = 2010.f(100), the cost of renting the bike for 100 hours.