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EXAMPLE 4

SCUBA DIVING. As a scuba diver descends into deeper water, the pressure of the water on the diver’s body steadily increases.

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EXAMPLE 4

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  1. SCUBA DIVING As a scuba diver descends into deeper water, the pressure of the water on the diver’s body steadily increases. The pressure at the surface of the water is 2117 pounds per square foot (lb/ft2). The pressureincreases 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. EXAMPLE 4 Solve a multi-step problem

  2. EXAMPLE 4 Solve a multi-step problem EXAMPLE 1 SOLUTION STEP1 Write a verbal model. Then write an equation. STEP2 Find the depth at which the pressure is 8517 pounds per square foot. P = 2117 + 64d Write equation.

  3. 6400 64d = 64 64 ANSWER A diver experiences a pressure of 8517 pounds per square foot at a depth of 100 feet. EXAMPLE 4 Solve a multi-step problem GUIDED PRACTICE 8517 = 2117 + 64d Substitute 8517 for P. 8517 – 2117= 2117 – 2117 + 64d Subtract 2117from each side. 6400 = 64d Simplify. Divide each side by 64. 100 = d Simplify.

  4. 85172117 + 64(100) ? ? = = 8517 2117 + 6400 8517 = 8517 EXAMPLE 4 Solve a multi-step problem GUIDED PRACTICE CHECK P= 2117 + 64d Write original equation. Substitute 8517 for Pand 100 for d. Multiply 64and 100. Simplify. Solution checks.

  5. 9 WHAT IF?In Example 4, suppose the diver experiences a pressure of 5317 pounds per square foot. Find the diver’s depth. for Example 4 GUIDED PRACTICE SOLUTION STEP1 Find the depth at which the pressure is 5314 pounds per square foot. P = 2117 + 64d Write equation. 5317 = 2117 + 64d Substitute 5317 for P. 5317 – 2117= 2117 – 2117 + 64d Subtract 2117 from each side. 3200 = 64d Simplify.

  6. 3200 64d = 64 64 ANSWER A diver experiences a pressure of 5317 pounds per square foot at a depth of 50 feet. for Example 4 GUIDED PRACTICE Divide each side by 64. 50 = d Simplify.

  7. for Example 4 GUIDED PRACTICE Jobs 10. 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? SOLUTION P = 13 + 8h Write equation. 53 = 13 + 8h Substitute 53 for P. 53–13= 13 –13 + 8h Subtract 13 from each side. 40 = 8h Simplify. 5 = h Simplify.

  8. ANSWER She worked for 5 hours for Example 4 GUIDED PRACTICE

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