Question

directions: for each word problem, write an equation in slope intercept form (y = mx + b) to re\answers\ boxes provided. do not use any spaces and do not include any units in any of your equoanswer is incorrect, the answer box will turn red.
word problems equations questi
1a abdel has $200 in the bank and deposits $50 each month. y=50x+200 1b how much mone have in 6 mo
2a trish saved $70 but spends $5 each week on snacks for lunch. y=-5x+70 2b how much mone have in 8 we
3a jackie has already written 22 pages of her new book. she plans to write 12 pages each week until she finishes. y=12x+22 3b if the book is 202 p many weeks until finishes it?
4a a diver was 135 feet below sea level when he started to ascend at a rate of 30 feet per minute. 4b how long will it take to reach the surfac water?
5a alex joins a gym and pays a $75 registration fee, plus $15 each month. y=15x+75 5b how much will alex p uses the gym for 6 m
6a peter bought tickets to a show for $22 each and paid $14 for parking. y=22x+14 6b if peter spent a total o for the event, how m tickets did he buy
7a penelope received a coffee gift card with $56, which she uses to buy coffee for $4 per cup. y=-4x+56 7b how many cups of coff penelope buy before th card runs out of mon
8a tyra has already raised $42 for a fundraiser and she is currently selling brownies for $2 each to raise moneu. y=2x+42 8b how much money woul raise if she sells 48 brow

Explanation:

Step1: Solve 1b: Substitute x=6

$Y=50(6)+200 = 300+200$

Step2: Solve 2b: Substitute x=8

$Y=-5(8)+70 = -40+70$

Step3: Solve 3b: Set Y=202, solve x

$202=12x+22 \implies 12x=180 \implies x=\frac{180}{12}$

Step4: Solve 4a: Write slope-intercept equation

Surface is 0, start at -135, slope=30: $Y=30x-135$

Step5: Solve 4b: Set Y=0, solve x

$0=30x-135 \implies 30x=135 \implies x=\frac{135}{30}$

Step6: Solve 5b: Substitute x=6

$Y=15(6)+75 = 90+75$

Step7: Solve 6b: Assume total Y= (full value missing, assume typical total e.g., $146$), solve x

$146=22x+14 \implies 22x=132 \implies x=\frac{132}{22}$

Step8: Solve 7b: Set Y=0, solve x

$0=-4x+56 \implies 4x=56 \implies x=\frac{56}{4}$

Step9: Solve 8b: Substitute x=48

$Y=2(48)+42 = 96+42$

Answer:

1b: $\$500$
2b: $\$30$
3b: $15$ weeks
4a: $Y=30x-135$
4b: $4.5$ minutes
5b: $\$165$
6b: $6$ tickets (assuming total spent = $\$146$)
7b: $14$ cups
8b: $\$138$