Linear Functions and Their Applications

The video tutorial covers function notation in word problems, using examples to demonstrate how to solve for unknown variables. It includes calculating miles driven and hours needed in a travel scenario, as well as determining height and age in a growth scenario. The tutorial concludes with identifying the domain of a function.

What does the function m(x) = 60x represent in the context of the video?

• The number of hours driven for x miles

• The number of miles traveled for x hours

• The fuel consumption rate

• The speed of the vehicle

If you drive for 5 hours, how many miles will you travel according to the function m(x) = 60x?

• 300 miles

• 120 miles

• 60 miles

• 600 miles

In the function m(x) = 60x, what does the variable x represent?

• Fuel efficiency

• Hours driven

• Miles traveled

• Speed in miles per hour

How many hours would it take to travel 840 miles using the function m(x) = 60x?

• 16 hours

• 14 hours

• 12 hours

• 10 hours

In the function h(x) = 2.5x + 20, what does h(x) represent?

• Weight in pounds

• Height in inches

• Distance in miles

• Age in years

How tall will you be at 12 years old according to the function h(x) = 2.5x + 20?

• 70 inches

• 50 inches

• 30 inches

• 90 inches

If you are 70 inches tall, how old are you according to the function h(x) = 2.5x + 20?

• 20 years

• 25 years

• 30 years

• 15 years

What is the domain of the function f(x) = 4x + 1 if the domain is given as 1, 2, 3, and 4?

• 0, 1, 2, 3

• All real numbers

• 1, 2, 3, 4

• Only positive integers