Question

Rachel works part-time from home as a data entry professional. She enters data in forms and is paid based on the entry accuracy rate. The table below shows her compensation.
tier 1 = $17
tier 2 = $13
tier 3 = $0

Based on her regular performance, the equation below can be used to determine C, the total amount Rachel earns a month entering data, where x represents the total number of forms she completes that month.

C = 17(0.9x) + 13(0.05x) + 0(0.05x)

What is the minimum number of forms she must complete in a month to earn a total of at least $1,276?

59

70

79

80

Answer 1

Multiply out the values on the right first and combine xs.
\[C = 17(0.9x) + 13 (0.05x) + 0(0.05x) = 15.3x + 0.65x + 0x = 15.95x\]
\[1276 = 15.95x\]
\[x = 80\]