Partial variation word problems
Use partial variation (y = mx + b) to model a fixed fee plus a rate, and solve in either direction. Unlimited questions, five difficulty levels, and a full worked solution every time — free.
Try one
A phone repair shop charges a $10.00 diagnostic fee plus $4.00 per hour of labour. What is the total cost for 3 hours?
Answer: 22
See one solved, step by step
A pottery studio charges an $8.00 membership fee plus $6.00 per class. What is the total cost for 8 classes?
📘 Worked solution
1cost = $8.00 + $6.00 · cThis is partial variation: a fixed starting fee plus a rate for each unit.
2cost = $8.00 + $6.00 · 8Substitute c = 8.
3= $8.00 + $48.00Multiply the rate by the number of classes.
4= $56.00Add the fixed fee to get the total.
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