Andrew can paint 2 walls in 6.5 hours. Tim can paint 3 walls in 8 hours. Compare the two proportional relationships.
A. Tim paints at a faster rate because he paints one wall in 2 2/3 hours while Andrew paints one wall in 3.25 hours.
B. Andrew paints at a faster rate because he paints 1 wall in 3.25 hours while Tim paints 1 wall in 2 2/3 hours.
C. Tim paints at a faster rate because he paints at a rate of 0.375 while Andrew paints at a rate of 3.25.
D. Andrew paints at a faster rate because he paints at a rate of about 0.308 while Tim paints at a rate of 0.375.
To compare the two proportional relationships, we need to calculate the rate at which each person paints.
The rate at which Andrew paints is calculated by dividing the number of walls painted by the hours taken:
Andrew's rate = 2 walls / 6.5 hours = 0.308 walls per hour
The rate at which Tim paints is calculated the same way:
Tim's rate = 3 walls / 8 hours = 0.375 walls per hour
Comparing the rates, we can see that:
Andrew's rate = 0.308 walls per hour
Tim's rate = 0.375 walls per hour
Therefore, the correct answer is:
D. Andrew paints at a faster rate because he paints at a rate of about 0.308 while Tim paints at a rate of 0.375.
To compare the two proportional relationships, we need to calculate the rate at which each person paints.
For Andrew:
Andrew can paint 2 walls in 6.5 hours, so his rate is 2/6.5 = 0.308 walls per hour.
For Tim:
Tim can paint 3 walls in 8 hours, so his rate is 3/8 = 0.375 walls per hour.
Comparing the two rates:
- Andrew's rate is 0.308 walls per hour.
- Tim's rate is 0.375 walls per hour.
So, the correct answer is D. Andrew paints at a faster rate because he paints at a rate of about 0.308 while Tim paints at a rate of 0.375.
To compare the two proportional relationships, we need to find the rates at which both Andrew and Tim paint walls.
From the given information, we know that:
Andrew can paint 2 walls in 6.5 hours.
Tim can paint 3 walls in 8 hours.
To find the rate at which Andrew paints, we divide the number of walls by the number of hours:
Andrew's rate = 2 walls / 6.5 hours = 0.308 walls/hour (rounded to three decimal places).
To find the rate at which Tim paints, we also divide the number of walls by the number of hours:
Tim's rate = 3 walls / 8 hours = 0.375 walls/hour (rounded to three decimal places).
Now, let's compare the two rates to determine which is faster.
The correct option is: D. Andrew paints at a faster rate because he paints at a rate of about 0.308 walls/hour while Tim paints at a rate of about 0.375 walls/hour.