Interpreting Slope & Y-intercept Day 2

An employee at an arcade determined he could use the equation

y = 50 – 2x to predict the number of tokens a guest has, y, based on the

number of minutes, x, the guest has been at the arcade. What is the

meaning of the slope of the equation?

• Guests typically have 50 tokens when they first arrive.

• Guests typically have 50 tokens left when they leave.

• Guests typically earn 2 tokens per minute.

• Guests typically use 2 tokens per minute.

Tags

CCSS.MATH.CONTENT.8.SP.A.3

A car rental business charges a daily fee along with a one-time fixed

charge to refuel the car when it is returned. The equation the business

uses to calculate the total rental cost, is c=15d + 24, where d

represents the number of rental days. What is the daily increase in the

total cost of the rental?

• $9

• $15

• $24

• $39

Tags

CCSS.MATH.CONTENT.8.SP.A.3

The value in dollars, y, of a car x years after it was purchased can be

modeled by the function y = 14,000 – 875x. What is the meaning of the

y-intercept of the linear model?

• The initial value of the car is $14,000.

• The average value of the car is $14,000.

• The car’s value decreases by $875 each year after it was purchased.

• The car’s value decreases by $16 each year after it was purchased.

Tags

CCSS.MATH.CONTENT.8.SP.A.3

Research shows that the number of years of college education that a

person earns, x, the higher that person’s salary will be, y. Using the

linear model y = 5,000x + 20,000, what does the y-intercept represent?

• A person with no college education will typically have a salary of

  $20,000.

• A person with no college education will typically have a salary of

  $5,000.

• A person will receive a $5,000 raise for each year worked.

• All jobs pay $20,000 the first year.

Tags

CCSS.MATH.CONTENT.8.SP.A.3

The table below shows the temperature of an oven, in degrees Fahrenheit, t minutes after it is turned on.

An equation for a line of best fit for these data is F = 30t + 70. What is the slope of this line, and what does it represent?

• The slope is 30, and it represents the initial temperature, in degrees Fahrenheit, of the oven.

• The slope is 70, and it represents the initial temperature, in degrees Fahrenheit, of the oven.

• The slope is 30, and it represents the increase in temperature, in degrees Fahrenheit, each

  minute the oven is on.

• The slope is 70, and it represents the increase in temperature, in degrees Fahrenheit, each

  minute the oven is on.

Tags

CCSS.MATH.CONTENT.8.SP.A.3

A scientist recorded the weight of an insect from hatching to maturity.

The equation w=0.7a+1.2 gives the insect’s weight, w, in grams at age

a, in weeks. What is the meaning of the slope of this equation?

• The weight of the insect increases 1.2 grams each week.

• The weight of the insect increases 0.7 grams each week.

• The weight of the insect is 1.2 grams when it hatches.

• The weight of the insect is 0.7 grams when it hatches.

Tags

CCSS.MATH.CONTENT.8.SP.A.3

A plane travels from Los Angeles to New York City. The distance in

miles, d, of the plane from New York City h hours after the plane takes

off can be modeled using the equation d=2,475 -445h. What is the

meaning of the slope in this scenario?

• The distance, in miles, the plane travels in one hour.

• The distance, in miles, from Los Angeles to New York City.

• The amount of time, in hours, it takes the plane to travel one mile.

• The amount of time, in hours, it takes the plane to travel from Los

  Angeles to New York City.

Tags

CCSS.MATH.CONTENT.8.SP.A.3

A man used a faucet to add water to a pond. The man used the

equation v=3,028m+6,000 to determine the volume, v, of the pond in

milliliters after he had added water for m minutes. What is the meaning

of the y-intercept of this equation?

• The volume of the pond increases by 3,028 milliliters each minute.

• The volume of the pond increases by 6,000 milliliters each minute.

• The volume of the pond was 3,028 milliliters before the water was

  added.

• The volume of the pond was 6,000 milliliters before the water was

  added.

Tags

CCSS.MATH.CONTENT.8.SP.A.3

A bakery uses the equation y = 0.8x – 150 to model its total revenue, y,

when x loaves of bread are sold. What does the slope of the model

represent in the context of this problem?

• The number of loaves of bread sold must be 80 to maximize

  revenue.

• The store loses $150 if no loaves of bread are sold.

• The cost of one loaf of bread is $0.80.

• The total revenue will be $150.

Tags

CCSS.MATH.CONTENT.8.SP.A.3

Research shows that the number of years of college education that a

person earns, x, the higher that person’s salary will be, y. Using the

linear model y = 5,000x + 20,000, what does the y-intercept represent?

• A person with no college education will typically have a salary of

  $20,000.

• A person with no college education will typically have a salary of

  $5,000.

• A person will receive a $5,000 raise for each year worked.

• All jobs pay $20,000 the first year.

Tags

CCSS.MATH.CONTENT.8.SP.A.3