Question

Janie has $3. She earns $1.20 for each chore she does and can do fractions of chores. She wants to earn enough money to buy a CD for $13.50.

1. Write an inequality to determine the number of chores, c, Janie could do to have enough money to buy the CD.

2. Graph the solution set to this inequality.

Answer 1

I did that problem for homework. The picture shows my answers.

Answer 2

Answer: x ≥ 9

Explanation:

Janie has an initial amount of $3, and she earns other $1.20 for each chore, so the equation is:

Money = $3 + x*$1.20

where x is the number of chores.

She wants to earn at least $13.50 to buy a CD, so the equation we need to solve is:

$3 + x*$1.20 ≥ $13.50

we need to solve it:

x*$1.20 ≥ $10.50

x ≥ 10.50/1.20 = 8.75

So x must be greater than 8.75, but we can not have a 0.75 of a chore, so we have that the minimum value of x can be 9.

x ≥ 9

The graph of this set of solutions is a point in the 9 in the number line, and all the numbers bigger than 9.