A baker puts a chocolate cake in the oven to bake for 30 minutes. Let f(t) = 0.25 + 65 be the temperature of the cake t minutes after you placed it in the oven. Which of the following statements are true for the given function?

LET ME KNOW ASAP

Options (1) and (5)

Step-by-step explanation:

Given function 'f' representing the relation between temperature of the oven after 't' minutes is,

f(t) = 0.25t² + 65

Option (1).

f(0) means that when the cake was placed in the oven, its temperature was 65°.

True.

f(0) = 0 + 65 = 65

Option (2).

To find the temperature after 15 minutes, we need to find 't' when f(t) = 15

False.

We have to find the value of f(15) to find the temperature of the oven after 15 minutes.

Option (3).

Temperature of the cake was 81° F when it was kept in the oven for 8 minutes.

Given statement is False.

It should be represented by,

f(8) = 81

Option (4).

After 10 minutes,the temperature of the cake was 71.25 degree F.

False.

By putting t = 10 in the function,

f(10) = 0.25(10)² + 65

       = 25 + 65

       = 90° F

Option (5).

The temperature of the cake when the baker takes it out of the oven, can be represented by,

f(30) = 290

True.

f(30) = 0.25(30)² + 65

       = 225 + 65

       = 290

good luck on your studies! : )

david edward.

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.