Day 11- Linear Equations from Context

Rich is a member of a gym. He pays a monthly fee plus a per-visit fee. The equation below represents the monthly amount Rich pays for his membership to the gym per month for x visits.
y=3x+10
What does the y-intercept of the graph of this equation represent?

• The monthly fee
• How much Rich pays per visit
• The number of times Rich goes to the gym
• The total cost at the end of the month

Tags

CCSS.HSF.LE.B.5

Charlie rented a moving truck. He paid a daily fee plus a per-mile fee to rent the truck. The equation below represents the daily amount Charlie paid for the truck if he drives it x miles.
y=0.5x+10
What does the slope of the graph of this equation represent?

• The daily fee for the moving truck
• The per-mile fee for the moving truck
• How much Charlie paid for the truck
• The number of miles he drove

Tags

CCSS.HSF.LE.B.5

The graph represents the height of a burning candle.  What is the meaning of the y-intercept?

• the time it takes to burn the entire candle
• the rate at which the candle is losing height
• the change in the height of the candle each hour
• the original height of the candle

Tags

CCSS.HSF.LE.B.5

The demand for a certain product is given by the equation y = -45p+450, where p is the price of the product and y represents the number of units in demand. Interpret the slope in context.

• For each dollar the price increases, demand decreases by 450 units.

• For each dollar the price increases, demand increases by 450 units.

• For each dollar the price increases, demand decreases by 4.500 units.

• For each dollar the price decreases, demand decreases by 4.500 units.

Valaray has $127.00 in her wallet and earns $15.50 per hour. Which equation shows this situation?

• m = 127h + 15.50

• m = 15.50h + 127

• m = 15.50 + 127

• m = h + 127

Tags

CCSS.6.EE.C.9

To prepare for a recent road trip, Jill filled up her 19-gallon tank. She estimates that her SUV will use about three gallons per hour. Write an equation to model the amount of gasoline, G, remaining in her tank after t hours.

• G=19 – 3t

• G=19 + 3t

• G=3 - 19t

• G=3 + 19t

Tags

CCSS.HSF-BF.A.1A

Cedric and Josh both ordered the same size pizzas at Marco’s Pizzeria; however, they ordered different toppings. Marco’s charges an additional fee for toppings, but all toppings cost the same. Cedric got pepperoni, banana peppers, and black olives on his pizza for a cost of $15.74. Josh ordered mushrooms and eggplant on his pizza and paid $14.49. Using this information, write an equation for the cost of a pizza, C, as a function of the number of toppings, t ordered.

• C = 11.99 + 1.25t

• C = 11.99 - 1.25t

• C = 11.99t + 1.25

• C = 11.99t - 1.25

Tags

CCSS.HSF-BF.A.1A

At the beginning of the summer, Jenna had saved $141.  To earn money of the summer, she is working part time at the local community center.  She will earn $32 per day of work.  If x represents the number of days she works, which of the following equations represents how much money she will have, including her savings?

• y = 141-32x
• y = x + 141
• y = 32x + 141
• y = 141x + 32

Tags

CCSS.6.EE.C.9

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

• y = 2x + 15

• x = 15y + 2

• y = 15x+ 2

Tags

CCSS.6.EE.C.9