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. write an inequality to determine the number of chores, c, janie could do to have enough money to buy the cd.

3 + 1.2 c > 13.50

Step-by-step explanation:

First of all, lets write an equation that gives us the income Janie gets for doing chores. As she earns 1.20 (I will omit the $ symbol for simplicity) for each chore c she makes we can write income depending on the amount of choes as:

income(c) = 1.2 c

If she  does 1 chore she gets 1.2, if she does 4 chores she gets 4.8 and so on for any c (obviously c is positive as she can do negative chores).

So, her total money will be the sum of what she earns for chores and the money she already has: 3.

money (c) = 3 + 1.2 c

If she does 2 chores she has 3+2.4=5.4 and so on for any c.

Now we need her money to be greater or equal to 13.50 in order to buy the CD. The inequality is:

money (c) > 13.50

3 + 1.2 c > 13.50

We can go further and solve it. First lets subtract 3 in both sides:

12 c > 10.50

Now, divide both sides by 1.2:

c > 10.50 / 1.2

c > 8.75

So, she needs at least 8.75 chores to earn enough money to buy the CD. As she can do fractions of chores the answer is 8.75 chores. Is she couldn't do fractions she would need at least 9 chores.

The inequality to determine the number of chores, c, Janie could do to have enough money to buy the CD is (3 + 1.2c > 13.50) and this can be determined by using the given data.

Given :

Given that the total number of chores Janie can do is 'c'. Then the total number of chores Janie can do to earn enough money to buy the CD is:

Then the total money Janie have is given by the equation:

Then to buy a CD whose price is $13.50 the Janie have at least (3 + 1.2c) money or more than that, that is:

3 + 1.2c > 13.50

1.2c > 10.50

c > 8.75

Therefore, the inequality to determine the number of chores, c, Janie could do to have enough money to buy the CD is (3 + 1.2c > 13.50).

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