Linear Equations and Data Trends in Real Life Scenarios

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write a linear equation to represent the total cost (C) as a function of miles driven (m). How much would it cost to drive 150 miles?

• $80

• $60

• $100

• $120

A researcher collects data on the number of hours studied (x) and the scores on a test (y). The linear regression equation is y = 5x + 60. If a student studies for 8 hours, what score can they expect?

• 110

• 90

• 100

• 80

A store finds that for every 10% increase in advertising budget, sales increase by $2000. If the current advertising budget is $5000, write a linear equation to model the relationship between the budget (b) and sales (s). What are the expected sales if the budget is increased to $7000?

• 2500

• 3500

• 3000

• 2800

A farmer notices that for every additional hour of watering, the crop yield increases by 15 pounds. If the current yield is 120 pounds with 4 hours of watering, write a linear equation for yield (y) based on hours of watering (h). What will the yield be after 6 hours?

• 150 pounds

• 130 pounds

• 160 pounds

• 140 pounds

A school is analyzing the relationship between the number of students participating in a club and the amount of money raised. The data shows that for every 5 students, $150 is raised. Write a linear equation to represent this relationship. How much money will be raised if 20 students join?

• $600

• $750

• $450

• $300

A gym tracks the number of members (m) and the monthly revenue (r). The linear regression equation is r = 25m + 500. If the gym has 100 members, what is the monthly revenue?

• 2500

• 3500

• 3000

• 4000

A delivery service charges a base fee of $10 plus $1.50 per mile. Write a linear equation to represent the total cost (C) based on miles driven (m). How much would it cost for a delivery of 12 miles?

• $20.00

• $35.00

• $15.50

• $28.00

A local bakery finds that for every 100 cookies sold, they make $300 in profit. Write a linear equation to model the profit (p) based on the number of cookies sold (c). What is the profit if they sell 500 cookies?

• $3000

• $1500

• $2000

• $1200

A tech company finds that for every 1% increase in their product's price, the sales decrease by 50 units. If the current price is $200 and they sell 1000 units, write a linear equation to represent the relationship between price (p) and units sold (u). What will be the sales if the price is increased to $210?

• 650

• 800

• 900

• 750

A city is analyzing the relationship between the number of parks (p) and the average property value (v). The linear regression equation is v = 20000p + 150000. If there are 5 parks, what is the average property value?

• 150000

• 200000

• 300000

• 250000