Construct Linear Functions

Northside Elementary School’s PTO holds a fundraiser. The PTO already has some savings, but it needs to raise $100 per week for the next 5 weeks to reach its $2,200 goal. Assume the relationship is linear. Find and interpret the rate of change and initial value. Then write the equation of the function in the form y = mx + b, where x represents the number of weeks and y represents the total amount of money raised.

Dwayne needs to score 35 points per game for the next 6 games to reach 1,000 points scored in his career. Assume the relationship is linear. Find and interpret the rate of change and initial value. Then write the equation of the function in the form y = mx + b, where x represents the number of games and y represents the total points scored.

Sally sews squares on a quilt. She sews 7 squares in 1 hour. After 5 hours, Sally has sewn 43 squares. Assume the relationship is linear. Find and interpret the rate of change and initial value. Then write the equation of the function in the form y = mx + b, where x represents the number of hours and y represents the total number of squares sewn.

The height of a falling rock is shown on the graph. Find and interpret the rate of change and initial value. Then write the equation of the function in the form y = mx + b

Dan is on a backpacking trip. His distance from the trailhead is shown on the graph. Find and interpret the rate of change and initial value. Then write the equation of the function in the form y = mx + b

Maria collects baseball cards. She collects 20 cards each week. After 9 weeks, Maria has 250 cards. Assume the relationship is linear. Find and interpret the rate of change and initial value. Then write the equation of the function in the form y = mx + b, where x represents the number of weeks and y represents the total number of baseball cards collected.

A large block of ice is melting and losing 5 grams of mass every minute. After 11 minutes, the ice has lost 70 grams. Assume the relationship is linear. Find and interpret the rate of change and initial value. Then write the equation of the function in the form y = mx + b, where x represents the number of minutes and y represents the total mass lost.

The amount of snow that falls during a snowstorm is shown on the graph. Find and interpret the rate of change and initial value. Then write the equation of the function in the form y = mx + b

Which equation best represents the relationship between x and y in the table shown?

• y= 5x+5

• y=1/5x+5

• y=15x+5

• y=10x+5

Write a rule:  A plumber charges $50 for a house call plus $12 per hour for labor.

• y = 50 x + 12

• y = 50 + 12 x

• y = 62 x

• x = 50 + 12y