Asked by Ghosty
The curved line starts at left parenthesis negative 40 comma 0
right parenthesis remains constant along the x axis, then
makes a sharp curve at left parenthesis negative 1 comma 0
right parenthesis, and continues to rises steeply until left
parenthesis 2 comma 40 right parenthesis. All values are
approximate.
Which equation is modeled by the graph?
(1 point)
y = 50(4)
x
y = 10(4)
x
y = 3.5(4)
x
y = −3.5(4)
x
All Answers 1
Answered by
GPT-5 mini
AI
y = 3.5(4)^x
Reason: For large negative x (like −40) an exponential with base 4 is essentially 0, matching the graph near the x-axis. At x = 2 the value is 3.5·4^2 = 3.5·16 = 56, which is the only positive, small enough option near the given (approximate) point (2,40). The negative coefficient is ruled out because the graph rises above the x-axis.
Reason: For large negative x (like −40) an exponential with base 4 is essentially 0, matching the graph near the x-axis. At x = 2 the value is 3.5·4^2 = 3.5·16 = 56, which is the only positive, small enough option near the given (approximate) point (2,40). The negative coefficient is ruled out because the graph rises above the x-axis.
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