Options:
Who is right, and why?
a. Neither Kurt nor Maria is right, because 3,500 should be used instead of 3,600.
b. Kurt is right, because finding 1/5 of 3,600 is not a good way to approximate 21% of 3,585.
c. Maria is right, because finding 10% of 3,600 and multiplying the result by 2 is not a good way to approximate 21% of 3,585.
d. Both Kurt and Maria are right, because 3,585 should be rounded up to 3,600, and 21% of this amount can be approximated by either finding 10% of 3,600 and multiplying the result by 2 or by finding 1/5 of 3,600.
Answer:
d. Both Kurt and Maria are right, because 3,585 should be rounded up to 3,600, and 21% of this amount can be approximated by either finding 10% of 3,600 and multiplying the result by 2 or by finding 1/5 of 3,600.
Step-by-step explanation:
Given
[tex]Goal = 3585[/tex]
[tex]Collected = 21\%[/tex]
[tex]Kurt= 10\% * 3600 * 2[/tex]
[tex]Maria = \frac{1}{5} * 3600[/tex]
Required [Missing from the question]
Who is correct and why?
First, we calculate the actual amount collected.
[tex]Actual = Collected * Goal[/tex]
[tex]Actual = 21\% * 3585[/tex]
[tex]Actual = 752.85[/tex]
[tex]Actual = 753[/tex] --- approximate
Next, determine the estimate (round 3585 to 3600 and 21% to 20%)
[tex]Estimate = 20\% * 3600[/tex]
[tex]Estimate = 720[/tex]
Next, calculate Kurt and Maria's estimates
[tex]Kurt= 10\% * 3600 * 2[/tex]
[tex]Kurt = 720[/tex]
[tex]Maria = \frac{1}{5} * 3600[/tex]
[tex]Maria = 720[/tex]
Hence, Kurt and Maria are correct because of option (d)
