Point-Slope Equations: Interpret Slope & Solve for y

A car is traveling at a speed of 60 miles per hour. If it starts from a point 30 miles away from a city, write the equation in point-slope form to represent the distance from the city after t hours. What is the slope in this context?

• D(t) - 30 = 60(t - 0); slope = 60

• D(t) - 30 = -60(t - 0); slope = -60

• D(t) - 30 = 30(t - 0); slope = 30

• D(t) - 30 = -30(t - 0); slope = -30

A gardener plants a tree that is 2 feet tall. Each year, the tree grows 1.5 feet. Write the point-slope equation for the height of the tree after x years. How tall will the tree be after 5 years?

• 9.5 feet

• 8 feet

• 7.5 feet

• 10 feet

A bike rental shop charges a flat fee of $10 plus $2 for every hour rented. Write the point-slope equation for the total cost C after h hours. What does the slope represent in this scenario?

• C - 10 = 2(h - 0); slope = 2

• C = 10 + 2h; slope = 10

• C - 10 = 2(h - 5); slope = 2

• C - 10 = 3(h - 0); slope = 3

A student scored 75 on their first math test and improved by 5 points each subsequent test. Write the point-slope equation for the student's score after x tests. What will their score be after 4 tests?

• 95

• 85

• 90

• 100

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

A restaurant's daily sales are modeled by the equation y - 200 = 50(x - 1), where y is the sales in dollars and x is the day number. Interpret the slope in this context. What will the sales be on day 5?

• 400

• 600

• 500

• 300

Tags

CCSS.HSF.LE.B.5

A basketball player scores 10 points in the first quarter and averages 4 points per quarter thereafter. Write the point-slope equation for the total points scored after x quarters. How many points will the player have after 3 quarters?

• 18

• 16

• 22

• 20

A factory produces 100 units of a product on the first day and increases production by 20 units each day. Write the point-slope equation for the number of units produced after d days. How many units will be produced on the 7th day?

• 250

• 220

• 180

• 200

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

A swimmer starts at a distance of 50 meters from the finish line and swims at a rate of 2 meters per second. Write the point-slope equation for the distance from the finish line after t seconds. How far will the swimmer be from the finish line after 10 seconds?

• 20 meters

• 40 meters

• 50 meters

• 30 meters