Question

The temperature, in Celsius, of a certain substance during a chemistry experiment at time , minutes is modeled by the expression below.

t²-15t+54

Which expression is equivalent to the above expression and BEST reveals the minimum temperature reached by the substance?
A (t-6)(t-9)
B. (t-7.5)² -2.25
C. (t+6)(t+9)
D. (t-7.5)² + 2.25

Answer 1

The expression t²-15t+54 is equivalent to (t-6)(t-9) and represents the minimum temperature reached by the substance.

Step-by-step explanation:

The expression t²-15t+54 can be factored as (t-6)(t-9), which is equivalent to Option A. In this expression, the minimum temperature reached by the substance occurs when t is equal to the average of 6 and 9, which is 7.5. Therefore, the minimum temperature reached by the substance is represented by Option A.