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Interpreting Linear Equations
Vocabulary Terms
Writing
Solving
100
You rent a bicycle for x hours. The cost of renting the bicycle is represented by the equation y = 2x + 20. The y-intercept of the equation represents this.
What is the initial fee for renting the bike?
100
In a linear model, this represents the rate of change.
What is the slope?
100
Renting a car costs $100 plus $28 per day. The linear model for this situation relates the total cost of renting a car, y, with the number of days rented, x. Write a linear model to represent this situation.
What is y = 28x + 100?
100
Renting a car costs $100 plus $28 per day. The linear model for this situation relates the total cost of renting a car, y, with the number of days rented, x. How much would it cost to rent a car for 6 days?
$268
200
The height of a candle, in inches, that burns for x hours can be represented by the equation y = -0.5x + 6. The slope tells us this.
What is the number of inches burned per hour?
200
In a linear model, this is represented by the y-intercept.
What is the initial value?
200
You put an initial deposit of $25 into a bank account. You add $50 per year. Write a linear model to represent this situation.
What is y = 50x + 25?
200
You put an initial deposit of $25 into a bank account. You add $50 per year. If you started the account in 2009, how much do you have in the account now?
$325
300
Samantha is a member of a gym. Each month, she pays a monthly fee and a per-visit fee. Her monthly cost when she visits the gym x times is represented by the equation y = 5x + 40. This number represents the monthly fee.
What is 40?
300
A scatter plot in which the y values decreases as the x values increase has this type of correlation.
What is negative?
300
Renting a boat costs $200 plus $56 per day. The linear model for this situation relates the total cost of renting a boat, y, with the number of days rented, x. Write a linear model to represent this situation.
What is y = 56x + 200?
300
Renting a boat costs $200 plus $56 per day. The linear model for this situation relates the total cost of renting a boat, y, with the number of days rented, x. How much would it cost to rent the boat for 2 weeks?
$984
400
Given y = 2000x + 2500, where x is the number of years since I opened a savings account and y is the amount of money in the account in dollars, the ordered pair (6, 14500) tell me this about my account.
What is "in 6 years, there will be $14500 in my account"?
400
This approximates the relationship between the data sets of a scatter plot.
What is a trend line?
400
The temperature is 15 degrees and it is going to drop 2 degrees per hour during the night. Let x represent the number of hours. This would be the equation to represent the situation.
What is y = -2x +15?
400
The temperature is 15 degrees and it is going to drop 2 degrees per hour during the night. What is the temperature after 4 hours?
7 degrees
500
The cost of a phone company's call plan is represented by the equation y = 0.10x + 40. The ordered pair (60, 46) tells us this, in context of the problem.
What is "60 minutes of usage costs $46"?
500
The estimation between the given data or observations.
What is interpolation?
500
Rachel still has 35 pages of history to be read after she has been reading for 20 minutes, and 5 pages left after she has been reading for 50 minutes. Write the equation to represent this situation. Let x be the number of minutes.
What is "y = -x + 55"?
500
Rachel still has 35 pages of history to be read after she has been reading for 20 minutes, and 5 pages left after she has been reading for 50 minutes. How many pages did she have left after 32 minutes?
23 pages