Interpret and apply linear functions in real-world contexts, from flat-fee-plus-rate word problems to arithmetic sequences.
29 original linear functions questions in the SAT Ranker bank, with instant scoring and an Elo-based rank once you sign up. Below are a few free samples with full explanations.
A gym charges a $50 membership fee plus $6 per visit. If a member's total cost so far is $122, how many visits have they made?
Total cost = fee + rate × visits, so 122 = 50 + 6 × visits. Subtracting: 72 = 6 × visits, so visits = 12.
A gym charges a $25 membership fee plus $2 per visit. If a member's total cost so far is $51, how many visits have they made?
Total cost = fee + rate × visits, so 51 = 25 + 2 × visits. Subtracting: 26 = 2 × visits, so visits = 13.
A gym charges a $25 membership fee plus $2 per visit. If a member's total cost so far is $47, how many visits have they made?
Total cost = fee + rate × visits, so 47 = 25 + 2 × visits. Subtracting: 22 = 2 × visits, so visits = 11.
A gym charges a $35 membership fee plus $5 per visit. If a member's total cost so far is $85, how many visits have they made?
Total cost = fee + rate × visits, so 85 = 35 + 5 × visits. Subtracting: 50 = 5 × visits, so visits = 10.
A gym charges a $40 membership fee plus $5 per visit. If a member's total cost so far is $70, how many visits have they made?
Total cost = fee + rate × visits, so 70 = 40 + 5 × visits. Subtracting: 30 = 5 × visits, so visits = 6.