Chapter SH, Problem 3.5MPS

(a)

To determine

To find:The equation for this sequence.

Answer to Problem 3.5MPS

The equation for this sequence is $y=\left(x-1\right)\times 8.5+20.50$ .

Explanation of Solution

Given information:The given information is:

  

Calculation:

As from the table we can check that every hours worked income is increasing by $\$8.5$ .

Let the initial hour is $x$ and income earned is $y$ .

Earning in one hour is: $\left(1-1\right)\times 8.5+20.50=20.50$

Earning in second hour is: $\left(2-1\right)\times 8.5+20.50=29.00$

So, it follows the equation

  $y=\left(x-1\right)\times 8.5+20.50$

The value of $x$ isin hours.

Therefore, theequation for this sequenceis $y=\left(x-1\right)\times 8.5+20.50$ .

(b)

To determine

To find:The income if she works for $20\text{ hours}$ .

Answer to Problem 3.5MPS

Theincome if she works for $20\text{ hours}$ is $\$182$ .

Explanation of Solution

Given information: The given information is:

Tiffany'sworksfor $20\text{ hours}$ .

Calculation:

From the above equation:

  $y=\left(x-1\right)\times 8.5+20.50$

Tiffany'sworksfor $20\text{ hours}$ .

  $\begin{array}{l}y=\left(20-1\right)\times 8.5+20.50\\ y=182\end{array}$

Therefore, theincome if she works for $20\text{ hours}$ is $\$182$ .