The expression 5*1.15^(t) gives the area, in square meters, damaged by a fire as a function of minutes since the fire was discovered. What does 5 represent in this expression? Choose 1 answer: (A) An area of 5 square meters had been damaged by the fire by the time it was discovered. (B) It has been 5 minutes since the fire was discovered. (C) The area damaged by the fire is multiplied by 5 each minute.

Expression Structure: The expression given is 5*1.15^(t). To understand what the number 5 represents, we need to consider the structure of the expression. The expression is in the form of a*1.15^(t), where 'a' is a constant multiplier and 1.15^(t) represents exponential growth over time 't'. The constant 'a' is the initial value before any growth has occurred. Interpreting the Number 5: Since the expression represents the area damaged by a fire and the growth factor is 1.15^(t), the number 5 must represent the initial area that was damaged by the fire at the time it was discovered, before any additional damage occurred over time. This means that when t=0, the area damaged is 5 square meters. Matching the Number 5 to Answer Choices: Now, we can match our understanding of the number 5 in the expression to the given answer choices. The correct choice is (A) An area of 5 square meters had been damaged by the fire by the time it was discovered. This is because the number 5 is the coefficient that represents the initial condition of the expression, which in this context is the initial area damaged by the fire.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

The expression
5*1.15^(t) gives the area, in square meters, damaged by a fire as a function of minutes since the fire was discovered.
What does 5 represent in this expression?
Choose 1 answer:
(A) An area of 5 square meters had been damaged by the fire by the time it was discovered.
(B) It has been 5 minutes since the fire was discovered.
(C) The area damaged by the fire is multiplied by 5 each minute.

The expression $5 \cdot 1.15^{t}$ gives the area, in square meters, damaged by a fire as a function of minutes since the fire was discovered. $\newline$ What does $5$ represent in this expression? $\newline$ Choose $1$ answer: $\newline$ (A) An area of $5$ square meters had been damaged by the fire by the time it was discovered. $\newline$ (B) It has been $5$ minutes since the fire was discovered. $\newline$ (C) The area damaged by the fire is multiplied by $5$ each minute.

View step-by-step help

Home

Math Problems

Algebra 2

Write exponential functions: word problems

Full solution

Q. The expression

5 \cdot 1.15^{t}

gives the area, in square meters, damaged by a fire as a function of minutes since the fire was discovered.

\newline

What does

5

represent in this expression?

\newline

Choose

1

answer:

\newline

(A) An area of

5

square meters had been damaged by the fire by the time it was discovered.

\newline

(B) It has been

5

minutes since the fire was discovered.

\newline

5

each minute.

Expression Structure: The expression given is $5 \times 1.15^{t}$ . To understand what the number $5$ represents, we need to consider the structure of the expression. The expression is in the form of $a \times 1.15^{t}$ , where ' $a$ ' is a constant multiplier and $1.15^{t}$ represents exponential growth over time ' $t$ '. The constant ' $a$ ' is the initial value before any growth has occurred.
Interpreting the Number $5$ : Since the expression represents the area damaged by a fire and the growth factor is $1.15^{(t)}$ , the number $5$ must represent the initial area that was damaged by the fire at the time it was discovered, before any additional damage occurred over time. This means that when $t=0$ , the area damaged is $5$ square meters.
Matching the Number $5$ to Answer Choices: Now, we can match our understanding of the number $5$ in the expression to the given answer choices. The correct choice is (A) An area of $5$ square meters had been damaged by the fire by the time it was discovered. This is because the number $5$ is the coefficient that represents the initial condition of the expression, which in this context is the initial area damaged by the fire.