Graph Data Interpretation & Equation Writing for 8th Graders

A local park's attendance over the last five years is represented by the graph showing a steady increase. If the graph indicates that in year 1, the attendance was 200 and in year 5 it reached 600, write the equation in standard form that represents this data. What does the slope of the line represent in this context?

• 100x + y = 600

• 100x - y = -100

• 200x - y = 0

• 50x - y = -100

A car rental company has a graph showing the cost of renting a car over time. If the graph shows that the cost starts at $50 and increases by $15 for each additional day, write the equation in standard form. How much would it cost to rent the car for 4 days?

• $85

• $95

• $130

• $110

A school is tracking the number of students participating in after-school clubs. The graph shows that in year 1, there were 30 students, and in year 4, there were 90 students. Write the equation in standard form and interpret the meaning of the y-intercept.

• 20x - y = -10

• 30x - y = -60

• 40x - y = -50

• 10x - y = -30

A farmer's market sales are graphed over a season, showing a peak in sales at 300 units in week 5. If the sales started at 50 units in week 1 and increased steadily, write the equation in standard form. What does the peak indicate about the market's performance?

• 100x + 2y = 200; The peak suggests that sales will continue to rise indefinitely.

• 200x - 5y = 100; The peak shows that the market is struggling to maintain sales.

• 150x - 3y = 50; The peak indicates a decline in demand after week 5.

• 125x - 2y = 25; The peak indicates that the market's performance is at its highest in week 5, suggesting strong demand.

A city’s population growth is represented by a graph that shows an increase from 10,000 to 15,000 over 10 years. Write the equation in standard form and explain what the slope indicates about the population growth rate.

• -700x + y = 15000

• -500x + y = 10000

• -1000x + y = 9000

• -300x + y = 12000

A bookstore's revenue is graphed over a year, showing a steady increase from $1,000 in January to $3,000 in December. Write the equation in standard form. How much revenue is expected in June, based on the graph?

• $1,500

• $2,500

• $3,500

• $2,000

A local bakery's daily sales are represented in a graph, starting at 50 cupcakes sold and increasing to 200 over a month. Write the equation in standard form and explain how you would interpret the slope in terms of daily sales growth.

• 5x - y + 50 = 0

• 3x - y + 50 = 0

• 5x + y - 200 = 0

• 2x - y + 100 = 0

A concert venue's ticket sales are graphed, showing an increase from 100 tickets sold in the first week to 400 tickets sold in the fourth week. Write the equation in standard form and discuss what the y-intercept indicates about initial sales.

• -100x + y = 0

• -150x + y = 300

• -200x + y = 100

• -50x + y = 400