Question

Super Yoga Program has two plans, basic plan and trial plan. In basic plan, you will pay $20 per month as a membership fee and $8 per each session. In trial plan, you pay $12 per each session.a. If you go to Yoga sessions 4 times in a month, which plan is better for you? Explain.b. If you go to Yoga sessions 8 times in a month, which plan is better for you? Explain.c. If you go to Yoga sessions n times in a month, express the total cost of basic plan as an expression.d. If you go to Yoga sessions n times in a month, express the total cost of trial plan as an expression.

Answer 1

a. trial plan

b. basic plan

c. 20 + 8n

d. 12n

Explanation:

a.

We calculate the price in each case, like this:

`\begin{gathered} p_b=20+8\cdot4=52 \\ p_t=12\cdot4=48 \end{gathered}`

Therefore, if you go 4 times a month, the trial plan is better.

b.

We calculate the price in each case, like this:

`\begin{gathered} p_b=20+8\cdot8=84 \\ p_t=12\cdot8=96 \end{gathered}`

Therefore, if you go 8 times a month, the basic plan is better.

c.

Let n be the number of times you go per month, the cost expression of basic plan would be:

`p_b=20+8n`

d.

Let n be the number of times you go per month, the cost expression of the trial plan would be:

`p_t=12n`