Back to Fit a function to data — Problem 3 · Task Set 6

Exercises: Fit a Function to Data

Work through each section in order. When choosing a model family, justify from BOTH the scatter plot's form and the context's mechanism. When using a fitted function, substitute or solve carefully and state every answer with units. Remember: a fitted model captures the overall trend — it need not pass through every point — and predictions far outside the data range (extrapolation) are not as trustworthy as predictions inside it.

Grade 10·23 problems·~35 min·Common Core Math - HS Statistics and Probability·standard·hss-id-b-6a
Work through problems with immediate feedback
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Warm-Up: Function Families and Evaluation

These problems review skills you already have from Algebra 1.

1.

A context supplies the linear function y=0.10x+20y = 0.10x + 20 for the monthly cost yy (in dollars) of a phone plan after xx minutes of calls. Evaluate the function at x=200x = 200 minutes. Give the cost in dollars.