Reasonable or Not?
A calculator says your daily commute is 4,820 miles. Is this reasonable?
No — estimate shows it’s unrealistic.
What is 30% written as a decimal?
0.3
What is the principal of a loan?
The original amount borrowed.
What does slope represent on a graph?
Rate of change
What does a graph show better than a table?
Trends
Why is “0.2 pizzas per person” unreasonable?
Context makes the value unrealistic.
What is 15% of 200?
30
In I=Prt, what does r represent?
Interest rate
What does the y‑intercept represent?
Starting value
Why are graphs sometimes misleading?
Uneven scales, missing labels, or incomplete data.
Which two tools best help check if an answer makes sense?
Estimation and units
What is a unit rate?
A ratio with different units (per 1 unit).
What is simple interest?
Interest calculated only on the principal
Which graph shows a faster rate of change: steeper or flatter?
Steeper
What does exponential decay model?
Depreciation
An answer is mathematically correct but unrealistic. What was most likely ignored?
Context
Which situation requires using a proportion?
A. Finding the total cost of groceries
B. Converting a recipe
C. Rounding prices
D. Estimating travel time
B. Converting a recipe
Why does compound interest grow faster than simple interest?
Interest earns interest
What kind of change multiplies instead of adds?
Exponential change
Name a real‑life situation that shows exponential decay.
Acceptable answers:
Why is estimation especially useful when working with percents?
It helps check reasonableness
Why is a unit rate useful when shopping?
It compares prices per item.
Why does credit card debt grow quickly?
Compound interest
Why can exponential growth be unrealistic in real life?
Resources are limited
How does understanding exponential models help people?
It helps predict long‑term outcomes.