Friday 2/23/2024 (8.8 A, B, C and 8.5 E)

The amount of water an electric dish washer uses to wash dishes varies directly with the number of loads of dishes. The dish washer uses 32 gallons of water to wash 4 loads of dishes. How many gallons of water will the dish washer use to to wash 10 loads of dishes?

The value of y directly varies with value of x. When y = 75 ,

 $x\ =\ \frac{1}{2}.$  
What is the value of y when  $x\ =\ 2\ \frac{1}{4}?$  

•  $84\ \frac{3}{8}$  

•  $16\ \frac{2}{3}$  

•  $337\ \frac{1}{2}$  

•  $168\ \frac{3}{4}$  

Helen had $300 in her saving account when Vince opened his with zero dollars.

Helen deposits $30 each week into her account for x weeks.

Vince deposits $50 each week into her account for x weeks.

Which inequality represents this situation when the amount of money in Helen's account is greater than the amount of money in Vince's account?

• 
  

  $30x\ <\ 330\ +\ 50x$
  

• $50x\ >\ 330\ +\ 30x$

• $30x\ >\ 300\ +\ 50x$

• $50x\ <\ 300\ +\ 30x$

Renting video games from Store S costs $2.50 per game plus a monthly fee of $5.00. Renting video games from Store T costs $5.00 per game with no monthly fee. The monthly cost to rent video games depends on the number of video games, v, rented. Which inequality represents the situation when the monthly cost at Store S is less than the monthly cost at Store T?

• 2.5v + 5 < 5v

• 2.5v + 5 > 5v

• 7.5v < 5v

• 7.5v > 5v

Jerry has a new job and earns a salary of $45,000. Victoria has a new job and earns a salary of $54,000. Jerry will receive a salary increase of $2,500 per year, and Victoria will receive a salary increase of $1,500 per year. Which equation can be used to find x, the number of years it will take for Jerry to earn the same salary as Victoria?

• 45,000x + 2,500x = 54,000x + 1,500x

• 45,000x + 2,500 = 54,000x + 1,500

• 45,000 + 2,500x = 54,000 + 1,500x

• 45,000x + 2,500x = 54,000x + 1,500

At a store each notebook has a cost of x dollars. Which situation can be represented by this inequality?

5x > 3x + 2

• The cost of 5 notebooks is less than the cost of 3 notebooks with a $2 off coupon.

• The cost of 5 notebooks is less than the cost of 3 notebooks plus a $2 pen.

• The cost of 5 notebooks is $2 greater than the cost of 3 notebooks.

• The cost of 5 notebooks is greater than the cost of 3 notebooks plus a $2 pen.

Which situation can be represented by this equation?

340 + 5x = 650 - 8x

• Sierra started with a savings of $340 and spends $8 of her saving each week. Brian started with a savings of $650 and adds $5 to his saving each week. What is x, the number of weeks that need to pass in order for Sierra and Brian to have the same amount of money in their savings?

• Sierra started with 340 cans of food for a food drive. She collects 5 more cans every day. Brain started with 650 cans of the food drive. He collects 8 more cans every day. What is x, the number of days that need to pass for Sierra and Brian to have the same amount of cans?

• Sierra earns 345 points on each level of a video game. Brian earns 642 points on each level of the same video game. What is the number of levels that Sierra nd Brian would have to play in order for them to have the same number of points?

• Sierra has a bucket that originally contained 340 fl oz of water and is being filled at a rate of 5 fl oz per minute. Brian has a bucket that originally contained 650 fl oz of water and is being drained at a rate of 8 fl oz per minute. What is x, the number of minutes that need to pass in order for the two buckets to contain the same amount of water?

Carnival M charges an entrance fee of $12.50 and $0.75 per ticket for rides. Carnival P charges an entrance fee of $15.00 and $0.50 per ticket for rides. How many tickets must be purchased in order for the total cost at Carnival M and Carnival P to be the same?

Aquarium I contains 4.6 gallons of water. Louise will begin filling Aquarium I at a rate of 1.2 gallons per minute.

Aquarium II contains 54.6 gallons of water. Isaac will begin draining Aquarium II at a rate of 0.8 gallons per minute.

After how many minutes will both aquariums have the same amount of water?

• 148 min

• 125 min

• 25 min

• 50 min