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Mia tried to solve an equation step by step.

0.1 t-3=5

0.1 t=2quad Step 1

t=20quad" Step "2
Find Mia's mistake.
Choose 1 answer:
(A) Step 1
(B) Step 2
(c) Mia did not make a mistake.

Mia tried to solve an equation step by step. $\newline$ $0.1 t-3=5$ $\newline$ $0.1 t=2 \quad$ Step $1$ $\newline$ $t=20 \quad \text { Step } 2$ $\newline$ Find Mia's mistake. $\newline$ Choose $1$ answer: $\newline$ (A) Step $1$ $\newline$ (B) Step $2$ $\newline$ (C) Mia did not make a mistake.

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Write exponential functions: word problems

Full solution

Q. Mia tried to solve an equation step by step.

\newline

0.1 t-3=5

\newline

0.1 t=2 \quad

Step

1

\newline

t=20 \quad \text { Step } 2

\newline

Find Mia's mistake.

\newline

Choose

1

answer:

\newline

(A) Step

1

\newline

(B) Step

2

\newline

(C) Mia did not make a mistake.

Start with equation: Mia starts with the equation $0.1t - 3 = 5$ . To isolate the variable $t$ , she adds $3$ to both sides of the equation. $0.1t - 3 + 3 = 5 + 3$ $0.1t = 8$ This is the correct step to isolate the variable $t$ .
Isolate variable $t$ : In Step $2$ , Mia writes $t = 20$ . To find the value of $t$ , she should divide both sides of the equation by $0.1$ . $\frac{0.1t}{0.1} = \frac{8}{0.1}$ $t = 80$ Mia's mistake is in Step $2$ , where she incorrectly divided $8$ by $0.1$ , resulting in $20$ instead of the correct value, $80$ .

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