Question

the following table shows the time it takes to ride the elevator to three different floors of a skyscraper.
floor number: 4, 16, 64
time needed (in minutes): 0.25, 1, 4
based on this table, is the floor number proportional to the time it takes to get there?
choose 1 answer:
a yes
b no

Explanation:

Step1: Check Proportionality

To determine if two quantities are proportional, the ratio of one quantity to the other should be constant. Let's calculate the ratio of floor number to time for each pair.

For floor 4 and time 0.25: $\frac{4}{0.25} = 16$

For floor 16 and time 1: $\frac{16}{1} = 16$

For floor 64 and time 4: $\frac{64}{4} = 16$

Step2: Analyze Ratios

All the ratios of floor number to time are equal (16 in each case). This means the floor number and time are proportional.

Answer:

A. Yes