Question

question 13.
mindy used the equation $3m^2 + 2 = 50$ to determine how many months (m) it would take her to finish a project. according to mindys equation, how long will it take her to finish the project?
a. $\bigcirc$ 3 months
b. $\bigcirc$ 6 months
c. $\bigcirc$ 5 months
d. $\bigcirc$ 4 months

Explanation:

Step1: Isolate the squared term

Subtract 2 from both sides of the equation \(3m^{2}+2 = 50\).
\(3m^{2}=50 - 2=48\)

Step2: Solve for \(m^{2}\)

Divide both sides by 3.
\(m^{2}=\frac{48}{3} = 16\)

Step3: Solve for \(m\)

Take the square root of both sides. Since \(m\) represents the number of months (a positive quantity), we consider the positive square root.
\(m=\sqrt{16}=4\)

Answer:

D. 4 months