10-13-23: Writing Equation from situation.

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. The equation to represent this situation is (a)   .

• y = 2x + 15
• x = 15y + 2
• y = 15x+ 2

Abigail, Elijah, and Aria are hosting a party and want to give their living room a fresh look. They decide to hire a professional painter to do the job. The painter charges $25 per hour for labor and a $40 service fee for coming to their house. Which equation models this situation?

• y = 25x + 40

• y = 40x + 25

• y = 25x

• y = 25x - 40

Mia, Evelyn, and William are planning a fun dinner party for their friends. The cost of the delicious meal is $12.50 per person, and there is a delivery fee of $30. Can you help them find the equation that represents the total cost (y), including delivery, for x number of people attending the party?

• y = 12.50 + 30x

• y = 30 + 12.50x

• y = 12.50 + 30

• 12.50x = 30

Emma, Avery, and James are having a thrilling tree climbing race. The tree they are climbing is a gigantic 100 feet tall sequoia. If Emma is descending at a rate of 30 feet per minute, which equation would you use to track Emma's adventurous journey back to the ground?

• y = 100 - 30x

• y = 100 + 30x

• y = 100x + 30

• y = 100x - 30

Zoe, Michael, and William are on a fun summer adventure! They've decided to start a lemonade stand to make some extra pocket money. They're using the equation y=mx+b to predict their earnings, where 'y' is the total profit, 'm' is the price they charge per lemonade cup, and 'x' is the number of lemonade cups they manage to sell. Can you help them understand what the "b" in their equation stands for?

• Price they charge per lemonade cup

• Number of lemonade cups they sell

• Initial investment or fixed costs for the lemonade stand

David, Aiden, and Abigail are having a race on a table. If the table is tilted, who will reach the end first? The slope (m) of the table will give you the answer.

• 0

• 3

• -3

• -1

Arjun, Liam, and Zoe are on a treasure hunt. They found a map with a graph. Can you help them figure out the y-intercept shown on the graph?

• (0, -2)

• (3, 0)

• (0, 3)

• None of these.

Anika, Benjamin, and Priya are playing a game to find the y-intercept of different equations. Can you help them find the y-intercept of the equation y=2x+5?

• 2

• 5

Benjamin, Lily, and Samuel are having a water balloon fight in their backyard. They have a pool with 78 gallons of water already inside. They decide to use a hose to fill the pool at a rate of 3 gallons per minute for their water balloons. What is the y-intercept for this problem?

• 78/3

• 78

• 3

• 3/78

Abigail and James are having a friendly competition to see who can write the equation with a slope of 2/3 and a y-intercept of -3 first. Can you help Samuel figure it out before they do?

• y=3/2x+3

• y=2/3-3

• y=2/3x-3

• y=2/3x+3