Writing Equation of Linear Functions Using Word Problems

Researchers in Antarctica discovered a warm sea current under a glacier that is causing the glacier to melt. The ice shelf of the glacier had a thickness of approximately 450m when it was first discovered. The thickness of the ice shelf is decreasing at an average rate of 0.06m per day.

Which function can be used to find the thickness of the ice shelf in meters x days since the discovery.

• t(x) = 450 - 0.06x

• t(x) = -0.06(x + 450)

• t(x) = 450 + 0.06x

• t(x) = 0.06(x + 450)

An organization has a monthly budget of x dollars. Every month $2,070 is spent on salaries. One-fourth of the remaining budget is spent on monthly activities. Which function can be used to find the amount in dollars spent on monthly activities?

In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation

• y=5x + 20

• y= 20x + 5

At a restaurant jars of tomato sauce are stored in boxes in the pantry. Each box contains 8 jars of tomato sauce. A cook uses 2 jars from 1 of the boxes.

Which function shows the relationship between y, the total number of jars of tomato sauce remaining in the pantry, and x, the number in the pantry ?

Tags

A.2(C)

A package of baseball cards are sold for $6 each. It costs the manufacturer $500 plus $2 per package of cards to create. Which equation represents the profit, y, earned by selling x packages of baseball cards?

• y = 6x – 2x + 500

• y = 8x + 500

• y = 6x – (2x + 500)

• y = 500 + 2x

A downtown shop rents scooters for a one-time cost of $20.50 plus $7.50 per hour. Which equation can be used to find y, the total cost that a group of people must pay to rent x scooters for 8 hours?

• y = 28 + 8x

• y = 20.50 + 60x

• y = 224x

• y = 80.50x

Ricardo is measuring the height of a plant. The starting height of the plant was 3 centimeters. He then took measurements once a week and found an average growth of 0.5 cm per week. Which linear equation can be used to find the plant’s height in centimeters, h, after w weeks?

• w = 0.5h + 3

• h = 5w + 3

• w = 3h + 0.5

• h = 0.5w + 3

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

• y=15x
• y=15x+80
• y=x+15
• y=80x+15

A fitness club opens with 90 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

• y=15x

• y=15x+90

• y=x+15

• y=90x+15

Write an equation: The total cost of renting a car is $65 for deposit and $37.50 per day.

• x = 65 + 37.50 y

• y = 65 x + 37.50

• y= 92.50x

• y= 37.50 x + 65