🥤 Smoothie Stand Tycoon

Run the stand. Set the price. Master rates, proportions, and percents!

REMEMBER: A relationship is proportional when doubling one amount doubles the other. Its graph is a straight line through (0, 0), and its rule is y = kx. The number k is the price of just ONE.

Part 1 · Set Your Smoothie Price

You own the stand! Slide to set the price of one smoothie — that price is k, the constant of proportionality. Watch the table and graph change together. Then try turning on the $3 delivery fee and see what breaks.

Price of 1 smoothie (k): $3.50

Add a $3 delivery fee (uh-oh...)

Smoothies (x)	Total cost (y)

Part 2 · Proportional or Not?

A rival stand shows you their price tables. Some are proportional. Some hide a trick! Study the table and commit to your answer first — then we’ll check every ratio y ÷ x together.

Correct calls: 0

Part 3 · The Tycoon Machines

Three tools every tycoon needs. Each one shows every step and the why — not just the answer.

Choose a machine

Example: blend 1/2 cup of berries in 1/4 hour. Type numbers as decimals (0.5), fractions (1/2), or mixed numbers (1 1/2).

First amount

First unit (a word)

Second amount

Second unit (a word)

A customer’s order, a coupon, tax, and a tip. Watch how each percent gets its own step — and which price it acts on.

Order subtotal ($)

Discount (%)

Sales tax (%)

Tip (%)

Your smoothie profits can grow! Simple interest uses the formula I = p × r × t: principal × rate × time.

Money saved — principal ($)

Interest rate (% per year)

Time (years)

Part 4 · Tycoon Challenge Quiz

Question 1 of 10 Score: 0

📗 Word Box

Unit rate: How much for exactly ONE — one hour, one pound, one smoothie. Find it by dividing: total ÷ how many.
Proportional: Two amounts grow together by multiplying. Double one, and the other doubles too. Every y ÷ x gives the same number.
Constant of proportionality (k): The one number that connects x and y in y = kx. It's the unit rate — the value of ONE.
Origin: The point (0, 0) on a graph. Every proportional line must pass through it: zero smoothies cost zero dollars.
Percent: A part out of 100. To use one in math, turn it into a decimal: 8% = 0.08.
Discount: Money taken OFF a price. 25% off means you keep paying 75% — multiply by 0.75.
Simple interest: Extra money your savings earns: I = p × r × t (money saved × yearly rate × years).
Percent change: How much something grew or shrank, compared to where it STARTED: change ÷ original × 100.

Free lessons, assessments & worksheets at WinElements.com · Unlimited online practice at Sleedu.com