Equations in Multiple Representations

Melanie opened her savings account with $50. Each month, Melanie deposited the same amount of money into the account. She recorded the balance of her savings account in a table.

Which equation represents t, the total amount of money in Melanie's savings account at the end of m months?

• t = 50m + 50

• t = 100m + 50

• t = 150m + 50

• t = 75m + 50

Which equation did Tim use to create the graph?

• y = 3x + 5

• y = 3x - 5

• y = -3x + 5

• y = -1/3x + 5

Tickets are on sale for a basketball game. Each ticket sells for $74.50. Bus shuttle prices to the event cost $15 per family.

Which equation can be used to determine t, the total cost to attend the game if n tickets are purchased by the Gonzalez family?

• n = 74.50t + 15

• t = 15n + 74.50

• t = 74.50n + 15

• t = 74.50n + 15n

Zara made an initial deposit to a bank account and then added a fixed amount every week. The table shows the money in her account. Which equation represents the situation? Hint: Plug in the values for x (1, 2, 3, 4, 5) into each equation below until you get the value for y.

• y = 30x + 100

• y = 20x + 120

• y = 120x + 120

• y = 50x + 100

• y=5.47x

• y=4.39x

• y=0.55x+3,150

• y=3,150x+0.55

• y=6x

• y=30x

• y=5x+30

• y=6x+30

A water tank currently contains 275 gallons of water. The amount of water in the tank will decrease at a constant rate of 15 gallons per week.

Which function can be used to find t, the total number of gallons of water in the tank after w weeks?

• t=15w-275

• t=-15w+275

• t=275w-15

• t=-275w+15

The graph of a linear function passes through the points (-1, -1/4) and (1, -3/4).

Write an equation that represents the function.

A coach is ordering shirts for a team. The coach pays a one-time fee of $24. The coach also pays $8 for each shirt ordered. Write an equation that represents c, the total amount the coach pays in dollars when k shirts are ordered.

• y=3,000x+12,000

• y=3,000x+15,000

• y=-3,000x+12,000

• y=-3,000+15,000