Creating Equations and Inequalities

Write an equation from the following description: A cash register subtracts $2.50 from a $25 Coffee Cafe gift card for every medium coffee the customer buys. 

• y=-2.50x+25
• y=2.50x+25
• y=2.50x-25
• y= -1/2.50 x+25

Write an equation from the following description: Austin's Dad started a savings account for him by putting in $50 to start with. Every month then Austin is to put in $10. 

• y=50x+10
• y=1/50 x+10
• y=10x+50
• y=1/10 x+50

Write an equation from the following description: Bob sells popcorn at 50 cents per bag. 

• y=5x
• y=0.5x
• y=1/5x
• y=1/0.5x

A 7-inch candle burns at a rate of 2-inches per hour. Which equation represents the relationship between y, the height of the dandle in inches, and x, the number of hours the candle burns?

• y=2x+7
• y=7-2x
• y=2-7x
• y=7x+2

Gracie wants to increase the size of her garden.  If A = lw represents the current area of her garden, what is an equation that can be used to represent the resulting are of Gracie's garden if she increases the length by 5 and doubles the width?

• A = 10lw
• A = 2wl + 10w
• A = 2w (l - 5)
• A = 10wl + 2w

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat.  Write an equation for C, the total cost, to rent the boat for h hours.

• h = 2C + 15
• C = 15h + 2
• h = 15C + 2
• C = 2h + 15

A helicopter hovers 40 ft above the ground. Then the helicopter climbs at a rate of 21 ft/s. Write a rule that represents the helicopter’s height h above the ground as a function of time t. 

• h = 40t + 21
• h = 21t + 40
• h = -40t + 21
• h = -21t + 40

A team of divers assembles at an elevation of -10 ft relative to the surface of the water. Then the team dives at a rate of -50 ft per min. Write a rule that represents the team’s depth d as a function of time t. 

• d = -50t
• d = -10t - 50
• d = -50t - 10
• d = -10t

Which of the following situations can be represented by y=10+0.55n

• The total cost at a store for one book that costs $10 and n bookmarks that cost $0.55 each.
• The total cost of 10 bags of chips that cost $0.55 each.
• The height of a tree after n day that was 10feet tall and it grew 55 feet a day.
• Not here

Which of the following situations can be represented by y=10+0.55n

• The total cost at a store for one book that costs $10 and n bookmarks that cost $0.55 each.
• The total cost of 10 bags of chips that cost $0.55 each.
• The height of a tree after n day that was 10feet tall and it grew 55 feet a day.
• Not here