Question

write a function to describe the following scenario.

a basketball player practices jump shots. she starts at zero points and scores 5 points per minute. how many points will she have scored after a certain number of minutes?

(y = ?x)

Explanation:

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<reasoning>

Identify the variables and given values

Using the Linear Equations knowledge point
\[

$$\begin{aligned} &\text{Initial points (y-intercept, } b) = 0\\ &\text{Rate of scoring (slope, } m) = 5 \text{ points per minute}\\ &x = \text{number of minutes}\\ &y = \text{total points scored} \end{aligned}$$

\]

Formulate the linear function

Using the Linear Equations knowledge point
\[

$$\begin{aligned} &y = mx + b\\ &y = 5x + 0\\ &y = 5x \end{aligned}$$

\]

Determine the missing value

Using the Linear Equations knowledge point
\[

$$\begin{aligned} &\text{Comparing } y = 5x \text{ to the template } y = [?]x:\\ &[?] = 5 \end{aligned}$$

\]
</reasoning>

<answer>
Write a function to describe the following scenario.

A basketball player practices jump shots. She starts at zero points and scores 5 points per minute. How many points will she have scored after a certain number of minutes?

\(y =\) <blank>5</blank>\(x\)
</answer>

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Answer:

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<reasoning>

Identify the variables and given values

Using the Linear Equations knowledge point
\[

$$\begin{aligned} &\text{Initial points (y-intercept, } b) = 0\\ &\text{Rate of scoring (slope, } m) = 5 \text{ points per minute}\\ &x = \text{number of minutes}\\ &y = \text{total points scored} \end{aligned}$$

\]

Formulate the linear function

Using the Linear Equations knowledge point
\[

$$\begin{aligned} &y = mx + b\\ &y = 5x + 0\\ &y = 5x \end{aligned}$$

\]

Determine the missing value

Using the Linear Equations knowledge point
\[

$$\begin{aligned} &\text{Comparing } y = 5x \text{ to the template } y = [?]x:\\ &[?] = 5 \end{aligned}$$

\]
</reasoning>

<answer>
Write a function to describe the following scenario.

A basketball player practices jump shots. She starts at zero points and scores 5 points per minute. How many points will she have scored after a certain number of minutes?

\(y =\) <blank>5</blank>\(x\)
</answer>

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"Mathematics",
"Algebra",
"Linear Function Modeling"
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