Answer:
a. Yes
b. No
c. No
d. No
Step-by-step explanation:
Let's calculate the percent change for each situation:
a. The initial cost is $12, and it increases to $15.
[tex]\begin{aligned} \textsf{ Percent change } & = \dfrac{\textsf{New Value} - \textsf{Old Value}}{\textsf{Old Value}} \times 100 \% \\\\ & = \dfrac{15 - 12}{12} \times 100 \% \\\\ & = \frac{3}{12} \times 100\% \\\\ & = 25\% \end{aligned} [/tex]
Yes
b. The initial height is 52 inches, and it increases to 61 inches.
[tex]\begin{aligned} \textsf{ Percent change } & = \dfrac{61 - 52}{52} \times 100 \% \\\\ & = \dfrac{9}{52} \times 100 \% \\\\ &= 17.31\% \end{aligned} [/tex]
No
c. The initial temperature is 20°F, and it falls to 16°F.
[tex]\begin{aligned} \textsf{ Percent change } & = \dfrac{16 - 20}{20} \times 100 \% \\\\ & = \dfrac{-4}{20} \times 100\% \\\\ & = -20\%\end{aligned} [/tex]
No
d. There's no change from n to n.
[tex]\begin{aligned} \textsf{ Percent change } & = \dfrac{n - n}{n} \times 100 \\\\ & = 0\%\end{aligned} [/tex]
No
The correct answers are:
a. Yes
b. No
c. No
d. No
