For each situation, define variables and what units they might have (no need to write formulas). State whether the quantity is changing in a linear or exponential fashion.

A savings account, which earns no interest, receives a deposit of $723 per month.

The value of a machine depreciates by 17% per year.

A liter of water evaporates from a swimming pool every day.

Every 124 minutes, 12 of a drug dosage remains in the body.

Guest Feb 14, 2018

#1**+1 **

A savings account, which earns no interest, receives a deposit of $723 per month.

Linear......let A be the amount accumulated in dollars and M the number of months the deposit is made

The value of a machine depreciates by 17% per year.

Exponential.....let V be the value in dollars after T years

A liter of water evaporates from a swimming pool every day.

Linear......let A be the amount of water in liters remaining in the pool after D days

I think the last is supposed to be

Every 124 minutes, 1/2 of a drug dosage remains in the body.

Exponential.....this is a decay situation.....let A_{O} be the original amount (in cm^3) and A_{T} the amount remaining after T minutes

CPhill
Feb 14, 2018