Problem preview
F-LE.5 Warmup M1-033-A06-V01

Interpret parameters in linear and exponential functions in context.

Convert percent change to an exponential base

Problem

An exponential model changes by \(7\%\) increase. What exponential base does that correspond to?

Big Picture

What this problem is really about

A percent increase contributes only the added portion, while the exponential base must also retain the original whole. We’ll convert the percent to a decimal and add it to one to form the full multiplier. Translating the result back into a retained percentage will verify that it includes both the original amount and the stated increase.

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Four variants of this problem type
Curriculum context
Course
Math I
Standard
F-LE.5
Category
Functions
Domain
Linear, Quadratic, and Exponential Models
Objective
Interpret parameters in linear and exponential functions in context.
Problem type
Convert percent change to an exponential base