Understanding Slope & Intercept in Real-Life Graphs

A car rental company charges a flat fee of $20 plus $0.50 per mile driven. What is the slope of the line representing the cost of renting the car?

• 0.20

• 0.50

• 1.00

• 0.75

If a graph shows the number of books read by a student over 4 months, with the line starting at (0, 2) and ending at (4, 10), what is the y-intercept?

• 8

• 6

• 4

• 2

A gardener plants flowers in a row. The number of flowers planted increases by 3 each week. If the graph starts at (0, 5), what is the slope of the line?

• 3

• 0

• -3

• 5

A store sells notebooks for $2 each. If the total cost is represented by a linear graph, what does the y-intercept represent in this context?

• The y-intercept represents the total cost when no notebooks are purchased, which is $0.

• The y-intercept represents the total cost when five notebooks are purchased, which is $10.

• The y-intercept represents the cost of one notebook, which is $2.

• The y-intercept represents the total number of notebooks purchased, which is 1.

A school tracks the number of students participating in a club over time. If the graph shows a steady increase, what does the slope indicate about the trend?

• The slope indicates a negative trend in student participation.

• The slope shows no change in student participation.

• The slope indicates a positive trend in student participation.

• The slope represents fluctuating student participation.

A bike shop sells bikes for $150 each. If the total revenue is graphed, what does the slope of the line represent?

• The slope represents the price of each bike, which is $150.

• The slope represents the profit margin on each bike.

• The slope represents the cost of producing each bike.

• The slope represents the total number of bikes sold.

If a line on a graph shows the temperature rising from 20°C to 30°C over 5 hours, what is the average rate of change (slope) of the temperature?

• 2°C per hour

• 5°C per hour

• 3°C per hour

• 1°C per hour

A factory produces 100 toys in the first hour and increases production by 20 toys each hour. What is the slope of the line representing toy production?

• 50

• 30

• 20

• 10

A student saves $5 each week. If the graph starts at (0, 0), what does the slope of the line represent in terms of savings?

• The slope of the line indicates the initial amount saved before any weeks.

• The slope of the line represents the amount saved each week, which is $5.

• The slope of the line shows the total amount spent each week.

• The slope of the line represents the total savings after one year.

A restaurant's daily sales are graphed and show a steady increase from $200 to $500 over 10 days. What does the slope of this line tell you about the sales trend?

• The sales trend is increasing at a rate of $30 per day.

• The sales trend fluctuates between $200 and $500 without a clear direction.

• The sales trend is decreasing at a rate of $20 per day.

• The sales trend remains constant at $200 per day.