Problem preview

A-CED.1 Warmup M3-008-A11-V01

Create and solve one-variable equations and inequalities from contexts using all studied expression types, including simple root functions.

Create an equation from a model and solve for the input value

Problem

Use the doubling table to write the model equation and find \(x\) when \(y~=~48\).

Exponential pattern table with rows (x,y)=(0,3), (1,6), (2,12), and (?,48). The target x-entry and equation are withheld.

Big Picture

What this problem is really about

Read the table in two layers: the entry at input zero gives the starting value, while successive output ratios reveal what repeats. Those features determine the model before the target row is used. Then set the model's output equal to the target and solve for the missing input, checking that it continues the same table pattern.

Answer choices

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Preview only

y = 3 + 3x; x = 15

y = 3·2ˣ; x = 5

y = 3·2ˣ; x = 4

y = 2·3ˣ; x = 3

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Curriculum context

Course: Math III
Standard: A-CED.1
Category: Algebra
Domain: Creating Equations
Objective: Create and solve one-variable equations and inequalities from contexts using all studied expression types, including simple root functions.
Problem type: Create an equation from a model and solve for the input value