Words like per, each and every point to the rate. Words like fee, initial and one-time point to the starting value.
Worked examples
A gym charges a $25 sign-up fee plus $10 per class. What does 6 classes cost?
dollars.
A taxi charges $3 plus $2 per mile. A ride costs $19. How long was it?
, so miles.
Plan A costs , and Plan B costs . When do they cost the same?
, so .
Common mistake
A $25 fee plus $10 per class is written as .
That charges the fee for every class. The one-time fee stands alone, and the per-class amount multiplies : .
Try it yourself
- A plant is 12 cm and grows 3 cm a week. How tall is it after 5 weeks?
Show answer
27 cm
- A bill is . It comes to $23. Find .
Show answer
- Solve .
Show answer
Want to check your work? Open the free calculator
Want help with this?
Book a free consultation, and we'll help you make a plan.