Answer:
In 1956, the height will be 33.05 ft
Step-by-step explanation:
Let +x+ = number of years after 1900
Calll 1900 +x+=+0+
Then 1990 is +x+=+90+
Let +y+ = height in feet
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You are gven the points
( 0, 33 )
( 90, 33.08 )
Use general point-slope formula
+%28+y+-+33+%29+%2F+%28+x+-+0+%29+=+%28+33.08+-+33+%29+%2F+%28+90+-+0+%29+
Multiply both sides by +90x+
+90%2A%28+y+-+33+%29+=+.08x+
+90y+-+2970+=+.08x+
+90y+=+.08x+%2B+2970+
+y+=+.000889x+%2B+33+ ( equation to use )
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Check:
does it go through ( 90, 33.08 ) ?
+33.08+=+.000889%2A90+%2B+33+
+33.08+=+.08001+%2B+33+
+33.08+=+33.08001+
close enough
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(a)
+x+=+61%0D%0A%7B%7B%7B+y+=+.000889x+%2B+33+
+y+=+.000889%2A61+%2B+33+
+y+=+.0542+%2B+33+
+y+=+33.0542+
In 1961, the height will be 33.05 ft
