Slope, Rates, and Age Problems

The video tutorial covers five math problems, each focusing on different concepts. Problem 87 involves calculating the production rate of two machines. Problem 88 deals with determining the sequence of beads in a necklace pattern. Problem 89 focuses on finding the slope and solving for a variable in a coordinate system. Problem 90 involves calculating the distance a cyclist travels given a rate and time. Finally, Problem 91 is about solving an age-related problem involving two individuals, Sam and Jim.

If machine B produces 100 parts in 40 minutes, how many parts per minute does machine A produce?

• 2.5 parts per minute

• 5 parts per minute

• 10 parts per minute

• 7.5 parts per minute

If a necklace starts with a red bead and ends with a white bead, which of the following could be the total number of beads?

• 68

• 41

• 32

• 16

What is the slope of the line defined by the equation x = 3y - 7?

• -3

• 1/3

• 3

• -1/3

If a cyclist travels at a rate of m meters per s seconds, how many meters does the cyclist travel in x minutes?

• 60mx meters

• 60mx/s meters

• m/60x meters

• mx/60 meters

If Sam were twice as old as he is, he would be 40 years older than Jim. If Jim is 10 years younger than Sam, how old is Sam?

• 50 years

• 40 years

• 30 years

• 20 years