Rates & proportional relationships

Some vinyl records (let’s call them “Oldies”) rotate at the rate of 78 rpm (revolutions per minute).

The chart below shows revolutions per minute for three different tracks on another type of vinyl record (called “Goodies”).

When the Peregrine Falcon is in a dive, it can reach speeds of 242 mph, making it the fastest member of the animal kingdom.

The graph below shows a proportional relationship between distance and time.

Choose 1 answer:

Hillary’s summer job at the frozen yogurt shop paid her the amounts shown in the table below in her first three days on the job (she got paid the same hourly rate every day).

Which of the following equations, where h represents hours worked and $P$ the amount paid in dollars, represent an hourly pay rate that is greater than Hillary’s hourly pay rate?

Choose all answers that apply:

Superman was said to be “faster than a speeding bullet.” A Winchester rifle bullet travels at a speed of $1,924$1 miles per hour (mph).

Which of the equations, where t is the time in hours and d the distance in miles, describe a speed faster than the speed of a Winchester bullet?

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Big Deal appliance store is offering deep discounts on flat screen TVs. On the graph below, the x-axis represents the original price, and the y-axis represents the new sale price, in dollars.

Big Deal’s chief competitor, Appliance Hut, has announced that all sale prices (S) on TVs will be determined according to the equation:

S = (0.60) P,

where P is the original price.

Which store’s sale is better?

Choose 1 answer:

Usain Bolt is considered to be the fastest person on earth. He holds the record for the fastest 100m (meters), which he ran in 9.58s (seconds) in 2009. We’ll assume that Bolt ran the race at a constant speed.

Roberto is having his house painted. The job takes three days, and he pays the painter the same hourly rate every day. The cost of the job is in the chart below.

Which of the following equations, where h represents hours worked and P the amount paid in dollars, represent an hourly pay rate that is greater than the painter’s hourly rate?

Choose all answers that apply:

The mighty oak tree outside of Matt’s house had to be cut down. He missed the beautiful tree and the shade it provided, and wanted to replace it with an oak tree that would grow quickly. The Nuttall Oak (quercus nuttallii), the fastest growing oak tree, grows $7$ to 8 feet per year (we’ll assume it grows at a constant rate). At maturity, it can be up to 50 feet tall.

Which of the following equations, where t represents time in years and h represents height in feet, describe growth that is slower than the Nuttall Oak growth rate?

Choose all answers that apply: