Question

Textbook Chapter 2 - View and print as neededAChapter 2 NotesCalculator Resource: Desmos Scientific CalculatorSales and PayZach got a job selling bags of peanuts at the local park. He is paid a fixed amount of $240 per weekplus $0.89 per item sold. This is represented by the equation P=0.89n + 240 where P is theamount he is paid for the week and n is the number of bags of peanuts he sold.How much will Zach be paid if he sells 410 bags of peanuts?+If Zach sells 410 bags of peanuts, he will earn $for the week.How many bags of peanuts did Zach sell if he earned $827.40?If Zach has earned $827.40, he soldbags of peanuts.Question Help: D Post to forum

Answer 1

To find how much will Zach be paid if he sells 410 bags of peanuts, we just need to evaluate 410 on the function given that determinates the paid amount.

$P(410)=0.89\cdot410+240=364.9+240=604.9$

If Zach sells 410 bags of peanuts, he will earn $604.90 for the week.

For the second part, since we have the value he earned, we substitute this value by the function and solve for n to find how many bags of peanuts did Zach sell if he earned $827.40.

$\begin{gathered} 827.40=0.89n+240 \\ 587.4=0.89n \\ n=660 \end{gathered}$

If Zach has earned $827.40, he sold 660 bags of peanuts.