Back to Construct a function to model a linear relationship between two quantities — Problem 2 · Task Set 17

Exercises: Building Linear Models from Data and Context

Work through each section in order. Show your work where indicated. For each model, follow the two-step process: find the rate of change $m$, then the initial value $b$, and write $y = mx + b$. Always check your equation against a known data point.

Grade 8·23 problems·~35 min·Common Core Math - Grade 8·container·8-f-b-4
Work through problems with immediate feedback
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Fluency Practice

1.

A linear function passes through (0,9)(0, 9) and (4,21)(4, 21). Find each value, then write the model. Rate of change $m = $   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   . Initial value $b = $   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   .

rate of change m:
initial value b: