1.) You have $22 in your bank account, and you deposit $11.50 per week. Your cousin has $218 in his bank account and is withdrawing $13 per week. The graph of this problem situation intersects at x=8. What does this mean?






A.
In 8 weeks, you will have triple the amount of money in your account.




B.
In 8 weeks, your cousin will run out of money.




C.
In 8 weeks, both bank accounts will have the same amount of money in them.




D.
In 8 weeks, you will break-even.



2.) A garden supply store sells two types of lawn mowers. The cashiers kept a tally chart for the total number of mowers sold. They tallied 30 mowers sold. Total sales of mowers for the year were $8379.70. The small mowers cost $249.99 and the large mowers cost $329.99. Find the number of each type of mower sold.





A.
The store did not sell any small mowers. They sold 25 large mowers.




B.
The store sold 8 small mowers and 22 large mowers.




C.
The store sold 11 small mowers and 19 large mowers.




D.
The store sold 8 more small mowers than large mowers.



3.) Molly is selling bracelets and necklaces for her friend at a craft fair. The cost of 4 bracelets and 3 necklaces is $23.50. The cost of 5 bracelets and 2 necklaces
is $21.50 The system of equations that follows represents the situation.{4b+3n=23.50 {5b+2n=21.50 A customer wanted to buy just one bracelet and just one necklace.
How much money should Molly charge the customer?

4 answers

first one:

your equation:
B = 22 +11.5w , where B is the balance, and w is the number of weeks
or
y = 22+11.5x to make it fit your x = 8

your friend:
y = 218-13x
if x = 8,
you will have 22+11.5(8) = 114
your friend has 218-13(8) = 114

What do you think?

Give the other two a shot using a similar method
I got #1 C, #2 D and #3 $6.50?
#2 is correct

#3 solving your 2 equations:
1st times 2: 8b+6n=47
2nd times 3: 15b+6n=64.5
subtract them:
7b = 17.5
b = 2.5
sub back in ----> n = 4.5

necklace costs $4.50 and bracelet costs $2.50
so buying just one each = $7.00
Was #1 correct?