Math Is Fun Forum

mathland

Member

Registered: 2021-03-25

Posts: 444

Write A Linear Equation

1. A sandwich shop purchases a used
pizza oven for $875. After 5 years, the oven will have
to be discarded and replaced. Write a linear equation
giving the value V of the equipment during the 5 years
it will be in use.

2. Write a linear equation that expresses the relationship between the temperature in degrees Celsius C and degrees Fahrenheit F. Use
the fact that water freezes at 0°C (32°F) and boils at
100°C (212°F).

Question 1

Let t = years

V = 875 + 5t

Correct?

Question 2

I am thinking of the point (Celsius, Fahrenheit).

If so, this yields the following two points:

(0°C, 32°F) & (100°C, 212°F) = (0, 32) & (100, 212).

m = (212 - 32)/(100 - 0)

m = 180/100

I now use the point-slope formula.

y - y_1 = m(x - x_1)

y - 0 = (180/100)(x - 100)

y = (180/100)(x - 180)

Is this correct?

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 46,171

Re: Write A Linear Equation

For #2,   the relationship between the temperature in degrees Celsius C and degrees Fahrenheit F is :

Celsius to Fahrenheit:   (°C ×  9/5 ) + 32 = °F
Fahrenheit to Celsius:   (°F − 32) ×  5/9  = °C.

See the link : Temperture Conversion.

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mathland

Member

Registered: 2021-03-25

Posts: 444

Re: Write A Linear Equation

For #2,   the relationship between the temperature in degrees Celsius C and degrees Fahrenheit F is :

Celsius to Fahrenheit:   (°C ×  9/5 ) + 32 = °F
Fahrenheit to Celsius:   (°F − 32) ×  5/9  = °C.

See the link : Temperture Conversion.

Very good. Thanks for the link. Those two are familiar weather formulas.