Chapter 1.2, Problem 13CYU

(a)

To determine

To write an expression to represent the total amount of money Melba earned during the week.

Answer to Problem 13CYU

  $22(2)+22(4)+22(3)+22(1)+22(5)+22(6)+22(7)$

Explanation of Solution

Given:

Melba is moving lawns for $\$22$ each to earn money for a video game console that costs $\$550$ .

Calculation:

One way is to sum all the days and then multiply by 22 or multiply 22 by each day no of lawns moved. It can be expressed as follows in both ways;

  $=22(2+4+3+1+5+6+7)$

Or it can be written as;

  $=22(2)+22(4)+22(3)+22(1)+22(5)+22(6)+22(7)$

(b)

To determine

To use a ruler to measure the radius and height of each cylinder.

Answer to Problem 13CYU

  $\$616$

Explanation of Solution

Given:

Melba is moving lawns for $\$22$ each to earn money for a video game console that costs $\$550$ .

Calculation:

The expression can be resolved by multiplication and addition as follows

  $\begin{array}{l}=22(2)+22(4)+22(3)+22(1)+22(5)+22(6)+22(7)\\ =22(28)\\ =\$616\end{array}$

(c)

To determine

To find out if Melba can earn enough money to buy video game console.

Explanation of Solution

Given:

The volume of a cylinder can be found using the formula $v=\pi r^{2}h,$ in which $v=$ volume, $r=$ radius, and $h=$ height.

Calculation:

If Melba is performing the same task for seven days then at the end of the week Melba will achieve its target to buy console game. This is not reasonable as the lawn moving task will not be same for every time. Sometime the task is more or sometimes less so the dependency on it for every time is less.