parkhydel wrote:
An estimate of an actual data value has an error of p percent if \(p = \frac{100|e - a|}{a}\), where e is the estimated value and a is the actual value. Emma's estimate for her total income last year had an error of less than 20 percent. Emma's estimate of her income from tutoring last year also had an error of less than 20 percent. Was Emma's actual income from tutoring last year at most 45 percent of her actual total income last year?
(1) Emma's estimated income last year from tutoring was 30 percent of her estimated total income last year.
(2) Emma's estimated total income last year was $40,000.
DS39510.02
Under one min solution:
(A)
Simple assume numbers
Total Income (TI)= 100
=> Max TI (20% More)= 120 and Min TI (20% less) = 80
Tuition Income = 100*30% = 30
=> Max Tuition Income (20% More)= 36 and Min Tuition Income (20% less) = 24
Case when tuition income is the highest % of total income. When Total income is at min at 80 and tuition income is at max at 36.
Calculate: Tuition inc (Max)/ Total Income (Min) = 45%. (At most)
SUFFICIENT
(B)
No information about Tuition Income
INSUFFICIENT