Writing an equation and drawing its graph to model a real-world situation: Basic Online Quiz

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Q 1 - Stacy is putting $250 in a savings account and adding $40 each week. Let y represent the total amount saved and let x represent the number of weeks Stacy has been adding money. Write an equation relating y and x and graph it.

Answer : D

Explanation

Step 1:

The equation representing the problem in x and y is y = 250 + 40x

Step 2:

The plot is

Writing an equation and drawing its graph to model a real-world situation: Basic Quiz1

Q 2 - Jenny has savings of $42 and earns $7 for each hour of lawn mowing. If y is the total amount with Jenny and x is the number of hours he works, write and equation in y and x and graph it.

Answer : A

Explanation

Step 1:

The equation representing the problem in x and y is y = 42 + 7x

Step 2:

The plot is

Writing an equation and drawing its graph to model a real-world situation: Basic Quiz2

Q 3 - Stella has walked 18 kilometers, further she plans to walk 2 kilometer during each trip to work. Let y be the total distance walked and x be the number of trips she makes. Write an equation an equation in x and y and graph it.

Answer : B

Explanation

Step 1:

The equation representing the problem in x and y is y = 18 + 2x

Step 2:

The plot is

Writing an equation and drawing its graph to model a real-world situation: Basic Quiz3

Q 4 - Punto Car Rentals charge a base charge of $75 and $21 per hour for renting cars. Let y represent the total bill amount and x be number of hours the car is rented. Write an equation relating y and x and graph it.

Answer : C

Explanation

Step 1:

The equation representing the problem in x and y is y = 75 + 21x

Step 2:

The plot is

Writing an equation and drawing its graph to model a real-world situation: Basic Quiz4

Q 5 - Rita already has 5 bracelets, and new bracelets are priced $4 each. Let y be the total number of bracelets and x be the number of new bracelets. Write an equation in x and y and graph it.

Answer : C

Explanation

Step 1:

The equation representing the problem in x and y is y = 5 + 4x

Step 2:

The plot is

Writing an equation and drawing its graph to model a real-world situation: Basic Quiz5

Q 6 - Let y be the amount of water in a pond and let x be the number of minutes water flows into it. Write an equation relating y to x and then graph the equation. Initially 500 liters of water is in the pond; the rate at which water flows into the pond is 12 liters per minute.

Answer : B

Explanation

Step 1:

The equation representing the problem in x and y is y = 500 + 12x

Step 2:

The plot is

Writing an equation and drawing its graph to model a real-world situation: Basic Quiz6

Q 7 - Jack's party costs $110 plus $7 for every guest he invites. Let y be the total cost of party and x be the number of guests. Write an equation in x and y and graph it.

Answer : A

Explanation

Step 1:

The equation representing the problem in x and y is y = 110 + 7x

Step 2:

The plot is

Writing an equation and drawing its graph to model a real-world situation: Basic Quiz7

Q 8 - Nora has made 15 liters of jam and will make an additional 2 liter of jam every day. If y is the number of liters of jam made and x is the number of days, write an equation relating y and x and graph it.

Answer : D

Explanation

Step 1:

The equation representing the problem in x and y is y = 15 + 2x

Step 2:

The plot is

Writing an equation and drawing its graph to model a real-world situation: Basic Quiz8

Q 9 - Keira has already written 35 pages and she writes 6 pages per hour. Let y be the total pages written and x the number of hours she writes. Write an equation in y and x and graph it.

Answer : C

Explanation

Step 1:

The equation representing the problem in x and y is y = 35 + 6x

Step 2:

The plot is

Writing an equation and drawing its graph to model a real-world situation: Basic Quiz9

Q 10 - Curtis has 6 stamps and buys 2 stamps during each day of vacation. Let y be the total number of stamps Curtis has and x be the days of vacation. Write an equation in x and y and graph it.