# write my assignment 18676

4. The value of a machine depreciates by an equal amount each year of its useful

life. Suppose the machine was purchased for \$18,000 and has a useful life of five

years, after which time it has a scrap value of \$2,000.

(a) Identify the x-variable and the y-variable.

(b) Construct the data table for this problem.

(c) Find the equation of the linear model.

(d) What is the annual depreciation rate?

(e) What is the value of the machine two and one-half years after its purchase?

(f) When will the value of the machine be \$6,000?

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5. There are two common units of measurement for temperature: degrees Fahrenheit (ºF) and degrees

Celsius (ºC).

Water freezes at: 0 ºC and 32 ºF

Water boils at: 100 ºC and 212 ºF

Can we derive a linear formula by converting from ºF to ºC and back again?

Of course we can!

(a) Use the above data to find a formula for ºF as a function of ºC

Hint: leave m as a fraction

Hint Hint: F as a function of C is the same thing as x as a function of y, so here, your F is your x and

(b) Use the above data to find a formula for ºC as a function of ºF

Hint: leave m and b as functions

(c) Use the formula from (a) and algebraic manipulation to find a formula for ºC as a function of ºF.