Back to Construct linear and exponential functions — Problem 3 · Task Set 55

HSF.LE.A.2 Tutor Intake — Constructing Linear and Exponential Functions

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Grade 9·11 problems·~14 min·Common Core Math - HS Functions·group·hsf-le-a-2

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Concepts

A student examines this table:

$x$	$f(x)$
0	6
1	9
2	12
3	15

The student correctly identifies the relationship as linear. Which feature of
the table led to this conclusion?

The outputs increase by the same amount each step (constant differences).

The outputs are multiplied by the same factor each step (constant ratios).

The first output is 6, which equals $2 \times 3$ , so the slope is 2.

The input values increase by 1 each step.