1. Problem 15: Volume of gas tank and cost to fill the tank.
The cost to fill the tank is directly proportional to the volume of the gas tank.
Let $V$ be the volume of the gas tank and $C$ be the cost to fill it.
Then, $C = kV$ where $k$ is the cost per unit volume.
2. Problem 16: Time (years from 1960 to 2015) and salaries of working professionals.
Salaries generally increase over time, so we expect a positive correlation.
Let $t$ be years since 1960 and $S$ be salary.
A linear model could be $S = mt + b$ where $m$ is the rate of increase and $b$ is the starting salary.
3. Problem 17: Time (years from 1960 to 2010) and average global temperature.
Global temperature tends to increase over time due to climate change.
Let $t$ be years since 1960 and $T$ be temperature.
Model: $T = mt + b$ with positive $m$.
4. Problem 18: Area of shelves and number of books that can be arranged.
Number of books is proportional to shelf area.
Let $A$ be area and $N$ be number of books.
Model: $N = kA$.
5. Problem 19: Distance from one place to another and travel fare.
Travel fare is proportional to distance.
Let $d$ be distance and $F$ be fare.
Model: $F = kd$.
6. Problem 20: Rate of pedalling a bicycle and burning of calories.
Calories burned increase with pedalling rate.
Let $r$ be pedalling rate and $C$ be calories burned.
Model: $C = kr$.
7. Problem 21: Petrol mileage of car and cost of driving 900 kilometers.
Cost depends on distance and mileage.
Let $m$ be mileage (km per liter), $p$ be price per liter, and $C$ be cost.
Fuel needed: $\frac{900}{m}$ liters.
Cost: $C = p \times \frac{900}{m}$.
8. Problem 22: Annual percentage rate (APR) and balance in savings account after 10 years.
Balance grows exponentially with APR.
Let $P$ be principal, $r$ be APR (as decimal), $n=10$ years, $B$ be balance.
Model: $$B = P(1+r)^{10}$$
Final answers are the models above.
Data Relationships
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