felicia had $80 when she went to a music store that charges $18 for each cd. she needs to have no less than…

felicia had $80 when she went to a music store that charges $18 for each cd. she needs to have no less than $20 in her wallet when she leaves the store so she has enough money to buy gas for the ride home. which shows a possible number of cds she could buy? select three options. 1 2 3 4 5

felicia had $80 when she went to a music store that charges $18 for each cd. she needs to have no less than $20 in her wallet when she leaves the store so she has enough money to buy gas for the ride home. which shows a possible number of cds she could buy? select three options. 1 2 3 4 5

Answer

Explanation:

Step1: Set up inequality

Let $x$ be the number of CDs. The money spent on CDs is $18x$. She starts with $80$ and needs to have at least $20$ left. So the inequality is $80 - 18x\geq20$.

Step2: Solve the inequality for $x$

Subtract 80 from both sides: $- 18x\geq20 - 80$, which simplifies to $-18x\geq - 60$. Then divide both sides by - 18. Remember to reverse the inequality sign when dividing by a negative number. So $x\leq\frac{-60}{-18}=\frac{10}{3}\approx3.33$.

Step3: Check the options

Since $x$ represents the number of CDs and must be a non - negative integer and $x\leq3.33$, when $x = 1$, $80-18\times1=62\geq20$; when $x = 2$, $80 - 18\times2=80 - 36 = 44\geq20$; when $x = 3$, $80-18\times3=80 - 54 = 26\geq20$. When $x = 4$, $80-18\times4=80 - 72 = 8\lt20$; when $x = 5$, $80-18\times5=80 - 90=-10\lt20$.

Answer:

  1. Option 1. 1
  2. Option 2. 2
  3. Option 3. 3