Question

minimum target heart rates by age

which function best models the data in the table?

\

$$\begin{array}{|c|c|} \\hline \\text{age } x \\text{ (year)} & \\text{minimum target heart rate } y \\text{ (beats/min)} \\\\ \\hline 30 & 114 \\\\ \\hline 35 & 111 \\\\ \\hline 40 & 108 \\\\ \\hline 45 & 105 \\\\ \\hline 50 & 102 \\\\ \\hline \\end{array}$$

• \\(y = -0.6x + 132\\)
• \\(y = \frac{3420}{x}\\)
• \\(y = (x - 30)^2 + 114\\)
• \\(y = \frac{19\sqrt{30x}}{5}\\)

Explanation:

Analizar la tasa de cambio de los datos

Using the Function Modeling knowledge point

$$
LATEXBLOCK0
$$

Determinar la ecuación de la función lineal

Using the Function Modeling knowledge point

$$
LATEXBLOCK1
$$

Answer:

• (A) \(y = -0.6x + 132\) (Correct answer)
• (B) \(y = (x-30)^2 + 114\)
• (C) \(y = \frac{3420}{x}\)
• (D) \(y = \frac{19\sqrt{30x}}{5}\)