The amount of money in Jim's bank account changes at a rate of r(t) dollars per month (where t is time in months). What does int_(0)^(1)r(t)dt=-100 mean? Choose 1 answer: (A) The amount of money in Jim's account increases by $100 each month. B Over the first month, the amount of money in Jim's account decreased by $100. (C) The amount of money in Jim's account decreases by $100 each month. (D) After one month, the amount of money in Jim's account was -$100.

Understand the integral expression: Understand the integral expression. The integral of a rate of change function, r(t), over an interval gives the total change in the quantity over that interval. In this case, the integral represents the total change in the amount of money in Jim's bank account over the first month.Interpret the integral's bounds: Interpret the integral's bounds. The bounds of the integral are from 0 to 1, which indicates that we are looking at the change over the first month (from time t = 0 to t = 1 month).Interpret the integral's value: Interpret the integral's value. The integral's value is -100, which means that the total change in the amount of money over the first month is a decrease of $100.Match interpretation to answer choices: Match the integral's interpretation to the answer choices. The integral's interpretation directly matches with option (B), which states that over the first month, the amount of money in Jim's account decreased by $100.

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The amount of money in Jim's bank account changes at a rate of
r(t) dollars per month (where
t is time in months).
What does
int_(0)^(1)r(t)dt=-100 mean?
Choose 1 answer:
(A) The amount of money in Jim's account increases by
$100 each month.
B Over the first month, the amount of money in Jim's account decreased by
$100.
(C) The amount of money in Jim's account decreases by
$100 each month.
(D) After one month, the amount of money in Jim's account was
-$100.

The amount of money in Jim's bank account changes at a rate of $r(t)$ dollars per month (where $t$ is time in months). $\newline$ What does $\int_{0}^{1} r(t) d t=-100$ mean? $\newline$ Choose $1$ answer: $\newline$ (A) The amount of money in Jim's account increases by $\$ 100$ each month. $\newline$ (B) Over the first month, the amount of money in Jim's account decreased by $\$ 100$ . $\newline$ (C) The amount of money in Jim's account decreases by $\$ 100$ each month. $\newline$ (D) After one month, the amount of money in Jim's account was $-\$ 100$ .

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Grade 7

Evaluate two-variable equations: word problems

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Q. The amount of money in Jim's bank account changes at a rate of

r(t)

dollars per month (where

t

is time in months).

\newline

What does

\int_{0}^{1} r(t) d t=-100

mean?

\newline

Choose

1

answer:

\newline

(A) The amount of money in Jim's account increases by

\$ 100

each month.

\newline

(B) Over the first month, the amount of money in Jim's account decreased by

\$ 100

\newline

\$ 100

each month.

\newline

(D) After one month, the amount of money in Jim's account was

-\$ 100

Understand the integral expression: Understand the integral expression. $\newline$ The integral of a rate of change function, $r(t)$ , over an interval gives the total change in the quantity over that interval. In this case, the integral represents the total change in the amount of money in Jim's bank account over the first month.
Interpret the integral's bounds: Interpret the integral's bounds. $\newline$ The bounds of the integral are from $0$ to $1$ , which indicates that we are looking at the change over the first month (from time $t = 0$ to $t = 1$ month).
Interpret the integral's value: Interpret the integral's value. $\newline$ The integral's value is \$$-100$\[, which means that the total change in the amount of money over the first month is a decrease of \(\$100\]).
Match interpretation to answer choices: Match the integral's interpretation to the answer choices.$\newline$The integral's interpretation directly matches with option (B), which states that over the first month, the amount of money in Jim's account decreased by $\$100$.