Problem Solving Using Time

Ate Marwin and Ate Daisy are both working on the school canteen. Together they can finish cleaning the canteen in 4 hours. It takes ate Marwin working alone in 6 hours longer than it takes Ate Daisy working alone. Determine the quadratic equation formed on the given problem.

• x² + 6x + 12 = 0

• x² + 2x + 24 = 0

• x² - 6x + 12 = 0

• x² – 2x – 24 = 0

Jesa can type a story in one hour less than Annie. If They work together they can type the same story in 2 hours. Represent Jesa's time using a variable.

• x - 1

• 1 - x

• x - 2

• 2 - x

Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50.

• y = 8.5 + 25.5

• y = 8.5x + 25.5

• y = 8.5 + 25.5x

• y = 8.5x + 25.5x

• y-intercept

• x-intercept

• slope

• domain

• 17, 3.5

• 18, 4.25

• 5, 3

• 18, 4.25

What is the meaning of rate of change in the context of the problem?

• The distance to New York City  increases by 55 miles per hour.

• New York City is 55 miles away at the start of the trip.

• The distance to New York City decreases by 55 miles per hour.

• It takes 55 minutes to get to New York City.

• 1/11

• 55

• 11

• -11

What is the meaning of the slope in the context of the problem?

• Sharon's babysitting income increases by $20 per hour.

• Sharon's babysitting income decreases by $4 per hour.

• Sharon's babysitting income increases by $4 per hour.

• Sharon's babysitting income increases by $5 per hour.

What is the meaning of the slope in the context of the problem?

• The pool water is decreasing in 3 gallons per minute.

• The pool water is increasing in 3 gallons per minute.

• The time for the pool water to increase is 3 minutes.

• The time for the pool water to decrease is 3 minutes.