In the xy-plane, the graph of a linear equation of the form y = mx + b and the graph of an exponential equation of the form y = ab* both contain points (1, 3) and (2, 4). If the point (r, s) is on the graph of the linear equation and the point (r, t) is on the graph of the exponential equation, where 0 t, which of the following must be true? (A) 0

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 15EQ
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In the xy-plane, the graph of a linear equation of the form y = mx + b and the graph of an exponential
equation of the form y = ab* both contain points (1, 3) and (2, 4). If the point (r, s) is on the graph of
the linear equation and the point (r, t) is on the graph of the exponential equation, where 0 <r< 4
and s > t, which of the following must be true?
(A) 0 <r< 1
(B) 1 <r< 2
(C) 2 <r< 3
(D) 3 <r< 4
Transcribed Image Text:In the xy-plane, the graph of a linear equation of the form y = mx + b and the graph of an exponential equation of the form y = ab* both contain points (1, 3) and (2, 4). If the point (r, s) is on the graph of the linear equation and the point (r, t) is on the graph of the exponential equation, where 0 <r< 4 and s > t, which of the following must be true? (A) 0 <r< 1 (B) 1 <r< 2 (C) 2 <r< 3 (D) 3 <r< 4
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