A2 — Connect mathematics to real life, knowledge systems, and careers | Worked Example

Question:
A community garden charges a one-time registration fee of twelve dollars and then seven dollars per month for a garden plot. A neighbouring allotment program charges no registration fee but costs ten dollars per month. Part a: Write a linear equation for the total cost C, in dollars, of each program after m months. Part b: Graph both cost functions on the same grid. Part c: Find the number of months at which both programs cost the same. Part d: A gardener plans to use a plot for exactly five months. Which program is cheaper, and by how much?

A2 — Connect mathematics to real life, knowledge systems, and careers | Worked Example

This lesson uses two real-world pricing plans to build and compare linear equations in slope-intercept form. Students graph both cost functions, solve algebraically for the break-even point, and interpret the solution to make a financially informed deci