Interpreting Linear Graphs and Intercepts and Slope

Which runner was faster?

• Runner A

• Runner B

What is the meaning of the y-intercept?

• Mrs. Franklin's meal will cost $6.85 if she brings no grandchildren. 

• Mrs. Franklin's meal will cost $2.95 if she brings no grandchildren. 

• Mrs. Franklin's bill will increase by $2.95 for every grandchild she brings. 

• Mrs. Franklin's meal will decrease by $2.95 for every grandchild she brings.

Which statement matches the graph?

• Taylor can write 6 words per minute

• Taylor can write 25 words per minute

• Taylor can write 50 words per minute

• Taylor can write 150 words per minute

The cost of staying at a hotel can be found using the function y=129x+9.95, where x is the number of days a guest stays at the hotel and y is the cost in dollars. The cost includes a flat fee for Internet access. If the fee for Internet access is not included, which statement is true?

• The cost is $9.95 less per day

• The cost is $9.95 less

• The cost is $9.95 more per day

• The cost is $9.95 more

Chris collects shoes. The equation y =3x + 122 models the number of pairs of Jordans(y) he has in his collection after x months.

Interpret the slope.

• Chris collects an additional 3 pair of Jordans each month

• Chris collects 122 pairs of Jordans every 122 months

• In 3 months, Chris will have 122 more pairs of Jordans.

• Chris sells 3 pairs of Jordans for $122 each.

What is the meaning of the slope?

• The cost to get into the fair is $5

• The total cost for the day will increase by $1.75 for every ride you go on.

• The cost to get into the fair is $1.75

• The total cost for the day will increase by $5 for every ride you go on. 

An air conditioning saleman earns a base salary plus a commission for each air conditioner her sells. The equation y = 375 + 125x represents his pay based on the number of air conditioners he sells each week. What is the y-intercept and what does it represent?

• The y-intercept is 375 and represents the amount he earns for each air conditioner

• The y-intercept is 125 and represents the amount he earns for each air conditioner.

• The y-intercept is 375 and represents the base salary.

• The y-intercept is 125 and represents the base salary.

An air conditioning saleman earns a base salary plus a commission for each air conditioner her sells. The equation y = 375 + 125x represents his pay based on the number of air conditioners he sells each week. What is the slope and what does it represent?

• The slope is 375 and represents the amount he earns for each air conditioner.

• The slope is 125 and represents the amount he earns for each air conditioner.

• The slope is 375 and represents the base salary.

• The slope is 125 and represents the base salary.

Interpret the y-intercept.

• Janice started with $500 in her account

• Janice started with $12,000 in her account

• Each month, Janice saves an additional $500

• Each month, Janice saves an additional $12,000

Interpret the slope.

• Janice saves $12,000 every 500 months

• Janice saves $500 every 12,000 months

• Each month, Janice saves an additional $500

• Each month, Janice saves an additional $12,000