Question

question 3 of 5

select the correct answer.

the equation that models the data set in the table is \\(y = 0.06x^2 - 3x + 87.7\\)

based on the quadratic model, which is the best estimate of \\(y\\) when \\(x\\) is 40?

28
64
61
85

Explanation:

Identify the given model and target value

The quadratic model representing the data is:

$$y = 0.06x^2 - 3x + 87.7$$

We need to estimate the value of \(y\) when \(x = 40\).

Substitute the target value into the equation

Substitute \(x = 40\) into the quadratic equation:

$$y = 0.06(40)^2 - 3(40) + 87.7$$

Calculate the final value

Evaluate the terms:

$$
LATEXBLOCK0
$$

Rounding \(63.7\) to the nearest integer gives \(64\).

Answer:

• 28
• 64 (Correct answer)
• 61
• 85