Trend Lines and Linear Equations

An elevator travels down from the top floor of a skyscraper. Its height, in feet, is given by the equation h=800-8t, where h represents the elevator's height, in feet, and t represents the time, in seconds. What could the number 8 represent in the equation?

• How quickly the elevator decends, in feet per minute

• The height the elevator stars at

• The elevator's final height

• The elevator's height after one second

At the beginning of spring, Lauren planted a small sunflower in her backyard. The sunflower's height in inches, h, after w weeks, is given by the equation h=9+3w. What could the number 9 represent in the equation?

• The sunflower's height when it was planted

• The sunflower's final height

• The rate of change in the sunflower's height

• The sunflower's height after one week

Starting at noon, Emily observed the amount of snow on her lawn during a blizzard. She wrote an equation to represent s, how many inches of snow were on the lawn: s=0.024x+7, where x represents the number of minutes past noon. What could the number 0.024 represent in the equation?

• The amount of snow on the lawn at 12:01 pm

• The amount of snow on the lawn at noon

• How much more snow is added to the lawn every minute

• The total amount of snow

Anthony's math teacher finds that there's roughly a linear relationship between the amount of time students spend on their homework and their weekly quiz scores. This relationship can be represented by the equation y=57+6.3x, where y represents the expected quiz score and x represents hours spent on homework that week. What is the meaning of the x-value when y=99?

• A student's expected quiz score if they spend 1 hour on their homework

• A student's expected quiz score if they spend 99 hours on their homework

• How many hours a student spends studying all year

• The number of hours a student should spend on their homework to expect a score of 99 on the quiz

Nathaniel is taking a multiple choice test. His grade is given by the equation y=105−3x, where y represents his final score and x represents the number of questions he got wrong. What is the meaning of the y-value when x=1?

• The score he would get if he only missed one question

• The number of problems on the test

• His score with 0 problems wrong

• The points he loses for every wrong question

Adam is taking a multiple choice test. His grade is given by the equation y=200−4x, where y represents his final score and x represents the number of questions he got wrong. What could the number 4 represent in the equation?

• His score with 0 problems wrong

• The points he loses for each wrong question

• The score he would get if he only missed one question

• The number of problems on the test

Find the rate of change per fat gram

What does the rate of change mean in context?

• Each calorie adds 8.75 fat grams

• Each fat gram adds 8.75 calories

• Each fat gram loses 8.75 calories

• Each calorie loses 8.75 fat grams

What does the y-intercept mean in context?

• A sandwich with 0 grams of fat is 300 calories

• A sandwich with 300 fat grams is 0 calories

• A sandwich with 10 grams of fat is 400 calories

• A sandwich starts at 0 calories

What is the equation of the line of best fit?

• y= 6x + 2

• y = -2x +6