Real-Life Linear Equations: Graphing & Data Analysis

A car rental company charges a base fee of $20 plus $0.15 per mile driven. Write the linear equation that represents the total cost (C) in terms of miles driven (m). Graph this equation and analyze how the cost changes with distance.

• C = 20 + 0.50m

• C = 20 - 0.15m

• C = 20 + 0.15m

• C = 0.15m - 20

A researcher collected data on the number of hours students study and their corresponding test scores. The data shows a linear relationship. If the equation of the line is y = 5x + 60, where y is the test score and x is the hours studied, what would be the expected score for a student who studies for 4 hours?

• 90

• 100

• 80

• 70

A store found that for every 10% increase in advertising budget, sales increase by approximately $2000. If the current advertising budget is $5000, write a linear equation to model the relationship between the advertising budget (B) and sales (S). How much would sales be if the budget is increased to $7000?

• 4000

• 2500

• 3500

• 3000

A farmer notices that for every additional hour of watering, the crop yield increases by 50 pounds. If the initial yield is 200 pounds with 2 hours of watering, write the linear equation for yield (Y) based on hours of watering (h). Graph this equation and interpret the slope.

• Y = 50h + 100

• Y = 100h + 200

• Y = 50h + 150

• Y = 25h + 200

A school is analyzing the relationship between the number of students participating in sports and the amount of funding received. If the linear regression equation is F = 300 + 50S, where F is funding and S is the number of students, how much funding would the school receive if 20 students participate?

• 1500

• 800

• 1300

• 1000

A city planner is studying the relationship between the number of bike lanes and the number of cyclists. The data shows a linear trend, and the equation is C = 100 + 30L, where C is the number of cyclists and L is the number of bike lanes. If the city adds 5 bike lanes, how many cyclists can be expected?

• 300

• 250

• 200

• 150

A tech company found that for every additional hour of training, employee productivity increases by 3 units. If the productivity starts at 50 units with 1 hour of training, write the linear equation for productivity (P) based on training hours (h). What is the productivity after 4 hours of training?

• 62 units

• 59 units

• 50 units

• 55 units

A local gym tracks the relationship between membership fees and the number of members. The linear equation is M = 200 - 5F, where M is the number of members and F is the fee in dollars. If the gym charges $30, how many members do they have?

• 70

• 50

• 40

• 60

A delivery service analyzed its data and found that for every additional delivery made, the total revenue increases by $15. If the initial revenue for 10 deliveries is $150, write the linear equation for revenue (R) based on the number of deliveries (d). What is the revenue for 15 deliveries?

• 200

• 180

• 225

• 150

A coffee shop found that the number of customers increases by 20 for every $1 decrease in coffee price. If the current price is $5 and there are 100 customers, write the linear equation for customers (C) based on price (P). How many customers would there be if the price is reduced to $3?

• 160

• 140

• 120

• 100