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Linear Equations

Your music collection grows by 20 songs every week. If you currently have 1,000 songs, how many weeks will it take to amass 3,500 songs?

Linear Rate of Change


Consider a tree which is currently 1 meter high and grows 30 centimeters every year. What will the height of the tree be (in centimeters) 8 years from now?

If Janine's lawn is 2 inches tall now, and grows 3 inches every week, how tall will it be in 4 weeks?

Trisha makes $0.60 every time she sells a candy bar. How many dollars will she make if she sells 100 candy bars?

An electric pot, when switched on, can heat up the water by \(6^{\circ} \textrm{C}\) every \(2\) minutes. When it is switched off, the water cools down by \(2^{\circ} \textrm{C}\) every minute. How long will it take to heat up the water from \(24^{\circ} \textrm{C}\) to \(72^{\circ} \textrm{C}\) and then let it cool down to \(48^{\circ} \textrm{C}\) (in minutes)?

The rate at which crickets chirp is a linear function of the temperature (in degrees Fahrenheit). A good estimate of the temperature (in degrees Fahrenheit) is to count the number of times that a snowy tree cricket chirps in 15 seconds, and then add 45.

Using this rule, what would be the temperature if the snowy tree cricket chirps 192 times in a minute?


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