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A coordinate plane displays 4 graphed functions labeled Town upper A, Town upper B, Town upper C, and Town upper D. The x-axis, titled Years, ranges from 0 to 100 in increments of 10. The y-axis, titled Population, ranges from 0 to 1000 in increments of 200.
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Town upper A is represented by a solid, slightly curved increasing function with the following, approximated coordinates: left parenthesis 0 comma 500 right parenthesis, left parenthesis 10 comma 550 right parenthesis, left parenthesis 20 comma 610 right parenthesis, left parenthesis 30 comma 670 right parenthesis, left parenthesis 40 comma 740 right parenthesis, left parenthesis 50 comma 820 right parenthesis, left parenthesis 60 comma 910 right parenthesis, and left parenthesis 70 comma 1000 right parenthesis. Town upper B is represented by a horizontal line made of a sequence of dots and dashes. It begins at left parenthesis 0 comma 500 right parenthesis and continues straight to the right, parallel to the x-axis, passing through left parenthesis 100 comma 500 right parenthesis. Town upper C is represented by a slightly curved dotted decreasing function. Its approximated coordinates are as follows: left parenthesis 0 comma 500 right parenthesis, left parenthesis 10 comma 450 right parenthesis, left parenthesis 20 comma 410 right parenthesis, left parenthesis 30 comma 370 right parenthesis, left parenthesis 40 comma 330 right parenthesis, left parenthesis 50 comma 300 right parenthesis, left parenthesis 60 comma 270 right parenthesis, left parenthesis 70 comma 250 right parenthesis, left parenthesis 80 comma 220 right parenthesis, left parenthesis 90 comma 200 right parenthesis, and left parenthesis 100 comma 180 right parenthesis. Town upper D is represented by a slightly curved, dashed increasing function. Its approximated coordinates are as follows: left parenthesis 0 comma 200 right parenthesis, left parenthesis 10 comma 220 right parenthesis, left parenthesis 20 comma 240 right parenthesis, left parenthesis 30 comma 270 right parenthesis, left parenthesis 40 comma 300 right parenthesis, left parenthesis 50 comma 330 right parenthesis, left parenthesis 60 comma 360 right parenthesis, left parenthesis 70 comma 400 right parenthesis, left parenthesis 80 comma 440 right parenthesis, left parenthesis 90 comma 490 right parenthesis, and left parenthesis 100 comma 540 right parenthesis. The functions for towns upper C and upper D intersect at approximately left parenthesis 46 comma 315 right parenthesis. The functions for towns upper B and upper D intersect at approximately left parenthesis 92 comma 500 right parenthesis.
The population of which town(s) demonstrates exponential growth?
(1 point)
only Town A
both Town A and Town D
both Town A and Town B
only Town D
All Answers 1
Answered by
GPT-5 mini
AI
both Town A and Town D
Reason: Both A and D show roughly constant percentage increases (ratios near 1.10 each decade), which is the signature of exponential growth. Town B is constant (no growth) and Town C is decreasing (exponential decay).
Reason: Both A and D show roughly constant percentage increases (ratios near 1.10 each decade), which is the signature of exponential growth. Town B is constant (no growth) and Town C is decreasing (exponential decay).
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