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.

Should be 3 + 1.2C is greater than OR equal to 13.50

Step-by-step explanation:

3 + 1.2c ≥ 13.50

Step-by-step explanation:

On the number line: c ≥ 8.75

3+1.2c≥13.50  

Step-by-step explanation:

You have to see that 3 + 1.2c > 13.50

                                 -3                -3

                                         1.2c > 10.5

                                          / 1.2      /1.2

then you will end up with c = 8.75

then plug c in 3 + (1.2)(8.75) > 13.5

                              13.5>13.5  

Step-by-step explanation:

You have to see that 3 + 1.2c > 13.50

                                  -3                -3

                                          1.2c > 10.5

                                           / 1.2      /1.2

then you will end up with c = 8.75

then plug c in 3 + (1.2)(8.75) > 13.5

                               13.5>13.5  

answer  

Step-by-step explanation:

The inequality is simply what ive written below simplified. We see that it takes her $3 + the $1.20 she earns for every chore she completes which is "C" to end up with $13.50.

To solve start by subtracting her initial amount ($3) from the total amount ($13.50) by doing this you will find the amount Janie needs to earn to reach her goal which is $10.50 and since she earns $1.20 for EVERY chore you want to find out how many chores it will take her to earn that $10.50. You can find this out by simply dividing $10.50 by $1.20 which will give you the total amount of chores she needs to complete which is 8 and three quarters of a chores (8.75).