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6-76.

During a two-month period gasoline increased from $4.10 per gallon to $4.35 per gallon. Assuming prices increased in a geometric sequence, what was the monthly multiplier and what was the percent increase? Homework Help ✎

To find the monthly multiplier, write an equation and solve for the variable.

New price = (original price)(multiplier for month 1)(multiplier for month 2)

$4.35 = $4.10(x)(x) or $4.35 = $4.10x2

x ≈ 1.03 Therefore the percent increase is 3%.