Question

At the Conic Company, a new employee's earnings E, in dollars, can be calculated using the function E = 0.05s + 30,000, where s represents the employee's total sales, in dollars. All of the new employees earned between $50,000 and $60,000 last year. Which value is in the domain of the function? Please show your work

A $34,000
B $300,000
C $430,000
D $3,400,000

Answer 1

we know that E is in between 50,000 and 60,000. we substitute this in and find the values of s, which are 400,000 and 600,000. This becomes the domain therefore C is the answer.

50,000=0.05s+30,000
20,000=0.05s
400,000=s

60,000=0.05s+30,000
30,000=0.05s
600,000=s

since E is in-between $50,000 and $60,000, s is in between 400,000 and 600,000, which is the domain. C is the answer.

Hope this helps.