Question

Does the equation t degree straight C equals left parenthesis 32 plus 1.8 t right parenthesis degree straight F work for any rational number? Check that it does with t equals 8 2 over 3 and t equals negative 8 2 over 3.

Evaluate the right side of the equation when t equals 8 2 over 3.



Do not include units (degrees Fahrenheit) in your answer.





x =?

Answer 1

• 16.4 for t = -8 2/3
• 47.6 for t = 8 2/3

Explanation:

We assume you want to evaluate the equation ...

T = 32 +1.8t

for t = -8 2/3 and t = 8 2/3

The evaluation involves addition and multiplication, both of which are closed for all real numbers, which includes all rational numbers. The equation works for any rational numbers.

Your examples:

T = 32 +1.8(-8 2/3) = 32 -15.6 = 16.4 . . . . the equation works

T = 32 +1.8(8 2/3) = 32 +15.6 = 47.6 . . . . the equation works

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Additional comment

Some calculators play nicely with decimals and mixed numbers.

The product 1.8(8 2/3) can be found as ...

(1.8)(8 2/3) = 1.8(26/3) = 0.6(26) = 15.6