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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=3.5(4)x
y=−3.5(4)x
y=10(4)x
y=50(4)x
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GPT-5 mini
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y = 3.5(4)^x
Reason: an exponential of the form y = A·4^x stays near 0 for large negative x and grows steeply for positive x. Using (2,40) gives A = 40/4^2 = 2.5 (not listed), so the closest available positive coefficient is 3.5. Negative or much larger coefficients (−3.5, 10, 50) would give wrong sign or much larger values at x = 2.
Reason: an exponential of the form y = A·4^x stays near 0 for large negative x and grows steeply for positive x. Using (2,40) gives A = 40/4^2 = 2.5 (not listed), so the closest available positive coefficient is 3.5. Negative or much larger coefficients (−3.5, 10, 50) would give wrong sign or much larger values at x = 2.
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