Question

Jenny works at a video store.she earns $6.25 an hour plus $6 for each membership she sells. what is a formula?
lets say
a= total amount earned
h= hours worked in one week
b=number of memberships sold in a week

Answer 1

@experimentX

Answer 2

What do you think the equation is?

Answer 3

idk

Answer 4

Let's fill in the variables with actual numbers first. Let's say that she works for 4 hours and she sells 2 memberships. How would you figure out how much she earned?

Answer 5

add?

Answer 6

add what together?

Answer 7

4 & 2?

Answer 8

Close but not quite. How much does she make every hour?

Answer 9

i dont know it doesnt say but ummm 2?

Answer 10

No, the original problem says that she make 6.25 for every hour. 4 & 2 are numbers I made up. If she works 4 hours and she makes 6.25 for every hour, what do you do with 6.25 and 4 to figure out how much she makes?

Answer 11

* or +??

Answer 12

Ok, well, what if she worked 100 hours. Would you multiply or add?

Answer 13

m?

Answer 14

Yes!

Answer 15

Ok, so we're going to multiply 6.25 by the number of hours this girl works. But is she getting paid only by the hour? Or is she getting extra money in another way?

Answer 16

extra

Answer 17

what extra money is she getting?

Answer 18

$6

Answer 19

$6 total? What if she sold 100 memberships? How much extra money would she get?

Answer 20

106?

Answer 21

Hmm, well it say that she will get $6 for EACH membership sold.

Answer 22

oooh idk :/

Answer 23

Well, here's a hint. When you see the word "each" in word problems, it usually means to multiply.

Answer 24

So if I sold lemonade at $2 for each cup, and I sold 5 cups, I would make 5*2 = $10

Answer 25

Did you understand the lemonade example?

Answer 26

yes!

Answer 27

Great. Understanding the words is a big part of writing the equation. Ok, so now we know that Jenny is making money 2 ways. Hourly and for each membership.

Answer 28

Here's the problem again:

Jenny works at a video store.she earns $6.25 an hour plus $6 for each membership she sells. what is a formula?
lets say
a= total amount earned
h= hours worked in one week
b=number of memberships sold in a week

Answer 29

Now let's say that she worked 4 hours and sold 2 memberships again. Let's start with the hours. If she works 4 hours and gets paid $6.25 for every hour, what are you going to do with 4 and 6.25?

Answer 30

m?

Answer 31

Right. So now we have 4(6.25) for part of our equation. What about the extra money? How do we calculate that part? She sold 2 memberships and she get $6 for each membership. What are we going to do with 2 and 6?

Answer 32

do you add the xtra money in? do we add? and add 2 and 6 into the equation?

Answer 33

Well, we are going to add at the end.

Answer 34

okay!

Answer 35

But if she gets paid $6 for EACH membership sold and sold 2, how much extra money does she get?

Answer 36

$12?

Answer 37

Yes! What did you do with 6 and 2? +-* or /?

Answer 38

umm multiply add or divide?

Answer 39

well, does 6 + 2 = 12? Or does 6 * 2 = 12?

Answer 40

so we multiply

Answer 41

Yep. So now we have two parts. 6.25(4) for the hourly wages and 6(2) for the extra money. We are going to find the total amount that she makes. What should I do with the two parts? +-*/?

Answer 42

make up the equation?

Answer 43

yes. What are we going to do with 6.25(4) and 6(2)? add subtract multiply or divide?

Answer 44

add?

Answer 45

i mean multiply?

Answer 46

Yes, we are going to add 6.25(4) and 6(2).

Answer 47

that's how we're going to find the total amount of money that she makes!

Answer 48

What did the 4 stand for again?
What did the 2 stand for again?

Answer 49

4 hours she work
2 memberships sold

Answer 50

So now let's write it out

6.25(hours she worked) + 6(memberships sold) = total $$

Let's replace it with variables. I want you to try it.

Answer 51

i honestly don't know

Answer 52

a= total amount earned
h= hours worked in one week
b=number of memberships sold in a week

Answer 53

i still don't know im being serious

Answer 54

6.25(hours she worked) + 6(memberships sold) = total $$

Where do you think the 'a' will go? Well, I'll give you a hint.

6.25(hours she worked) + 6(memberships sold) = a

I replaced a at the end because it stands for the total amount of money she made.

Answer 55

Where should we place h and b?

Answer 56

after 6.25

Answer 57

which letter should go after 6.25?

Answer 58

h

Answer 59

Yes! So now we have:

6.25h + 6(memberships sold) = a

Answer 60

you type the final equation.

Answer 61

6.25 +6^2=a?

Answer 62

What variable represents the number of memberships?

Answer 63

2

Answer 64

not the value (number). the variable (the letter)...
a= total amount earned
h= hours worked in one week
b=number of memberships sold in a week

Answer 65

blm, you're almost there!!!! This is difficult to learn at first, so don't get discouraged.

Answer 66

Ok, what I had you do to figure out the equation is to think about what you would do if you knew all of the numbers. So if she worked 4 hours and sold 2 memberships the equation would look like this:

6.25(4) + 6(2) = 37

But we DON'T know how many hours she worked, or the number of memberships so we can't figure out the total so we replace the numbers we don't know with variables.

4 = number of hours worked = h
2 = number of memberships = b
37 = total amount earned = a

6.25h + 6b = a

That's your equation. Practice makes perfect. Ask your teacher for a list of key words. Plus usually means you have to add. Each usually means you have to multiply.

Answer 67

thanks! :)