Question

what type of function is \\(y = 15x\\)?

a. quadratic
b. exponential
c. linear
d. cubic

Explanation:

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<reasoning>

Identify the function form

The given function is:
\[y = 15x\]

Analyze the degree of the function

The variable \(x\) is raised to the power of 1:
\[y = 15x^1\]
A polynomial function of degree 1 is a linear function.

Match with the given options

Comparing the function type to the choices:

• a. Quadratic (degree 2)
• b. Exponential (variable in exponent)
• c. Linear (degree 1)
• d. Cubic (degree 3)

Therefore, the function is linear.
</reasoning>

<answer>
<mcq-option>a. Quadratic</mcq-option>
<mcq-option>b. Exponential</mcq-option>
<mcq-correct>c. Linear</mcq-correct>
<mcq-option>d. Cubic</mcq-option>
</answer>

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Answer:

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<reasoning>

Identify the function form

The given function is:
\[y = 15x\]

Analyze the degree of the function

The variable \(x\) is raised to the power of 1:
\[y = 15x^1\]
A polynomial function of degree 1 is a linear function.

Match with the given options

Comparing the function type to the choices:

• a. Quadratic (degree 2)
• b. Exponential (variable in exponent)
• c. Linear (degree 1)
• d. Cubic (degree 3)

Therefore, the function is linear.
</reasoning>

<answer>
<mcq-option>a. Quadratic</mcq-option>
<mcq-option>b. Exponential</mcq-option>
<mcq-correct>c. Linear</mcq-correct>
<mcq-option>d. Cubic</mcq-option>
</answer>

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