Talking Slope
Slope Intercept Form
Word Problems
Aaaand We Scatter!
Predict This!
100
This is the kind of rate of change that increases.
What is a positive slope?
100
This is the y-intercept.
What is 2 or (0, 2)?
100
Joe earned $40 in 4 hours. This is the hourly wage Joe earns.
What is $10 per hour?
100
This is the association of this scatterplot.
What is negative and linear?
100
This is the expected weight of a six-month-old child.
What is a value approximately 20 lbs?
200
Defined as Rise over run
What is slope?
200
These are the rate of change and y-intercept of the graph.
What is 5 or $5 and 50 or (0, 50)?
200
This is the unit rate of the graph.
What is 9/2 or 4.5?
200
This is the association of the scatter plot.
What is no association?
200
This is the expected number of printed pages after 10 minutes.
What is any value between 50 and 55 pages?
300
This is the rate of change that decreases.
What is a negative slope?
300
This is the rate of change.
What is 3?
300
A taxi company charges $12.50 as a base fare plus $1.20 per mile. Write the equation for cost (C) in terms of miles (m). Identify the slope and y-intercept.
What is slope is $1.20 and y-intercept is $12.50 (0, 12.50) AND what is y=1.2x + 12.50 or C=1.2m + 12.50?
300
This is the association of this scatter plot.
What is positive and linear?
300
This is the expected torque when his engine moves at 5500 RPM.
What is any value between 215 and 220?
400
This is known as the initial value for a linear function
What is the y-intercept?
400
These are the rate of change and the y-intercept of the graph.
What is -3/5 or -0.6 and 24 or (0, 24)?
400
A streaming service charges $14 per month and $3 for each movie rented. Write the equation for total cost (C) in terms of movies rented (m). Identify slope and y-intercept. How much for 5 movies in one month?
What is:
Y = 2.75x + 14 OR C=2.75m + 14
Slope = $2.75 (movies) and y-intercept = $14 (streaming service)
5 movies cost = $27.75
400
This is the y-intercept of the scatter plot.
What is 70 or (0, 70)?
400
This is the expected test grade if the homework average is a 50.
What is any grade between 40 and 50?
500
For the equation:
y=-1/2x -2
What is the slope?
What is the y-intercept?
Is the line increasing or decreasing?
What is:
slope is -1/2
y-intercept of -2 or (0, -2)
Decreasing slope
500
These is the rate of change and y-intercept of the table.
What is -1 and 6 or (0, 6)?
500
A cell phone plan costs $45 per month plus $0.15 per text message. What is the independent and dependent variable? Write the equation for total cost (T) in terms of number of texts (x). What does the slope represent? What does the y-intercept represent?
What is:
Dependent (plan) $45 and Independent (text message) $0.15 per text message
y = 0.15x + 45 OR T=0.15x + 45
Slope is text messages with y-intercept as plan.
500
This is the rate of change of the scatter plot.
What is -5?
500
This is the expected weight with a height of 20 inches.
What is any value between 30 and 35 lbs?
1000
CHALLENGE QUESTION: FINAL JEOPARDY!!!
Provide the rate of change and the y-intercept. Then provide what the rate of change and the y-intercept mean in terms of the problem.
The starting gift card balance (y-intercept) is $50 and each movie costs $7.50 (slope of -7.5).
1000
CHALLENGE QUESTION: FINAL JEOPARDY!!!
Trish is ordering travel mugs from a website that charges a certain amount per mug plus a flat rate for shipping as shown in the table.
Find the rate of change and y-intercept. Then provide what the rate of change and y-intercept mean in terms of the problem.
The shipping cost (y-intercept) is $5.99 and the cost of each travel mug (slope) is $8.75.
1000
CHALLENGE QUESTION: FINAL JEOPARDY!!!
A gym service charges $62.80 per month and $13 for each class attended. What is the dependent and independent variable? Write the equation for total cost (C) in terms of classes attended (g). Identify slope and y-intercept. How much for 8 classes in one month?
What is:
Dependent (Total monthly cost) and Independent (classes)
Y= 13x + 62.80 OR C=13g +62.80
slope (classes= 13) and y-intercept (gym service = 62.80)
8 classes cost approximately $166.80
1000
CHALLENGE QUESTION: FINAL JEOPARDY!!!
Find the slope and y-intercept of the red line AND the blue line. Then give the amount of t-shirts needed for both lines to cost the same.
Red Line: m = 10 b = 0 or (0, 0)
Blue Line: m = 5 b = 20 or (0, 20)
It takes 4 t-shirts to have the same cost of $40.
1000
CHALLENGE QUESTION: FINAL JEOPARDY!!!
A local coffee shop tracks the outside temperature, and the number of iced coffees sold each day. The scatterplot shows a strong positive correlation between temperature and iced coffee sales.
On a day when the temperature was 85°F, the shop sold 120 iced coffees.
On a day when the temperature was 70°F, the shop sold 80 iced coffees.
If the trend continues, predict how many iced coffees the shop will sell when the temperature is 95°F. Show your reasoning.
What is:
We have two data points:
- At 85°F → 120 iced coffees
- At 70°F → 80 iced coffees
First, find the rate of change (slope):
(120-80)/(85-70) is approximately 40/15 or 2.67
This means for every 1°F increase, sales go up by about 2.67 iced coffees.
Now, predict for 95°F:
Difference in temp: 95-85 = 10 degrees
Increase in sales: 10 x 2.67
Predicted sales=120+26.7≈147 iced coffees