Quantities & Relationships # 1.10

David knows there is a relationship between the number of trucks he washes and the time it takes him to wash those trucks. Identify the independent quantity and the dependent quantity in the problem situation.

• Dependent: the number of trucks washed

• Independent: the number of trucks washed

• Dependent: the time it takes to wash the cars.

• Independent: the time it takes to wash the cars.

Tiffany is driving to visit her grandmother who lives 385 miles away from Selena’s home. She travels an average of 55 miles per hour.

• Dependent: distance (miles)

• Independent: time (hours)

• Dependent: time (hours)

• Independent: distance (miles)

Lucas works at a printing company. He is making T-shirts for a high school soccer team. The press he runs can imprint 2 T-shirts per minute with the school’s mascot.

• Dependent Quantity: number of T-shirts imprinted

• Independent Quantity: time (minutes)

• Dependent Quantity: time (minutes)

• Independent Quantity: number of T-shirts imprinted

On her way to work each morning, Sophia purchases a small cup of coffee for $4.25 from the coffee shop.

• Dependent quantity: cost (dollars)

• Independent quantity: number of cups

• Dependent quantity: number of cups

• Independent quantity: cost (dollars)

Jackir enjoys rock climbing on the weekends. At some of the less challenging locations he can climb upwards of 12 feet per minute.

• Dependent quantity: distance climbed (feet)

• Independent quantity: time (minutes)

• Independent quantity: distance climbed (feet)

• Dependent quantity: time (minutes)

Joseph prefers to walk to work when the weather is nice. He walks the 1.5 miles to work at a speed of about 3 miles per hour.

• Independent quantity: time (hours)

• Dependent quantity: distance (miles)

• Dependent quantity: time (hours)

• Independent quantity: distance (miles)

The OHS Ag class is working with various reptile species to increase their populations. The initial population of 325 endangered turtles tripled each year for the past three years.

• Independent Quantity: time (years)

• Dependent Quantity: number of turtles

• Dependent Quantity: time (years)

• Independent Quantity: number of turtles

Toby works as a salesman. He receives a monthly salary of $3000 as well as a 10% commission on the amount of sales.

• Independent Quantity: monthly sales (dollars)

• Dependent Quantity: monthly earnings (dollars)

• Dependent Quantity: monthly sales (dollars)

• Independent Quantity: monthly earnings (dollars)

A freshly made cup of hot chocolate is served at a temperature of about 180°F. The hot chocolate cools rapidly at first, and then slows down gradually as it approaches room temperature.

• Independent Quantity: time (minutes)

• Dependent Quantity: temperature (degrees F)

• Dependent Quantity: time (minutes)

• Independent Quantity: temperature (degrees F)

A commuter flight between Nashville and Knoxville takes about 40 minutes. The plane increases its altitude for the first half of the flight until it gets to 18,000 feet, and then it descends for the second half of the flight. The plane ascends and descends at a constant rate of 900 feet per minute.

• Independent Quantity: time (minutes)

• Dependent Quantity: altitude (feet)

• Dependent Quantity: time (minutes)

• Independent Quantity: altitude (feet)