Solve a multi-step problem

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Presentation transcript:

Solve a multi-step problem EXAMPLE 4 Solve a multi-step problem As a scuba diver descends into deeper water, the pressure of the water on the diver’s body steadily increases. SCUBA DIVING The pressure at the surface of the water is 2117 pounds per square foot (lb/ft2). The pressure increases at a rate of 64 pounds per square foot for each foot the diver descends. Find the depth at which a diver experiences a pressure of 8517 pounds per square foot.

Solve a multi-step problem EXAMPLE 1 EXAMPLE 4 Solve a multi-step problem SOLUTION STEP 1 Write a verbal model. Then write an equation. STEP 2 Find the depth at which the pressure is 8517 pounds per square foot. P = 2117 + 64d Write equation.

Solve a multi-step problem EXAMPLE 4 GUIDED PRACTICE Solve a multi-step problem 8517 = 2117 + 64d Substitute 8517 for P. 8517 – 2117 = 2117 – 2117 + 64d Subtract 2117 from each side. 6400 = 64d Simplify. 64 6400 = 64d Divide each side by 64. 100 = d Simplify. ANSWER A diver experiences a pressure of 8517 pounds per square foot at a depth of 100 feet.

Solve a multi-step problem EXAMPLE 4 GUIDED PRACTICE Solve a multi-step problem CHECK P = 2117 + 64d Write original equation. 8517 2117 + 64(100) ? = Substitute 8517 for P and 100 for d. 8517 2117 + 6400 ? = Multiply 64 and 100. 8517 = 8517 Simplify. Solution checks.

GUIDED PRACTICE for Example 4 WHAT IF? In Example 4, suppose the diver experiences a pressure of 5317 pounds per square foot. Find the diver’s depth. 9. ANSWER 50 ft

GUIDED PRACTICE for Example 4 Jobs Kim has a job where she makes $8 per hour plus tips. Yesterday, Kim made $53 dollars, $13 of which was from tips. How many hours did she work? 10. 5 h ANSWER