EXAMPLE 1 Solving an Equation Involving Decimals A colony of coral is 0.17 meter high and is growing at a rate of 0.025 meter per year. Another colony.

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EXAMPLE 1 Solving an Equation Involving Decimals A colony of coral is 0.17 meter high and is growing at a rate of meter per year. Another colony is 0.11 meter high and is growing at a rate of meter per year. In how many years will the colonies be the same height? Environment

EXAMPLE 1 Solving an Equation Involving Decimals SOLUTION First write a verbal model. Let n represent the number of years. =

EXAMPLE 1 Solving an Equation Involving Decimals n = n Write algebraic model = n Subtract 0.025n from each side = 0.016n Subtract 0.11 from each side. Divide each side by = n Simplify x = ANSWER The colonies will be the same height in 3.75 years.

GUIDED PRACTICE for Example 1 You and a friend are buying snowboarding gear. You buy a pair of goggles that costs $39.95 and 4 tubes of wax. Your friend buys a helmet that costs $54.95 and 2 tubes of wax. You each spend the same amount. Write and solve an equation to find the price of one tube of wax. Snowboarding 1.

GUIDED PRACTICE for Example 1 SOLUTION Let x represent the price of one tube of wax x = x Write algebraic model x = Subtract 2x from each side. 2x = Subtract from each side. Divide each side by 2 x = 7.50 Simplify. 2x2x = ANSWER The price of one tube of wax is $7.50.