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EXAMPLE 2

Paramotoring. A paramotor is a parachute propelled by a fan-like motor. The table shows the height h of a paramotorist t minutes after beginning a descent. Find the height of the paramotorist after 7 minutes. EXAMPLE 2. Look for a pattern. EXAMPLE 2. Look for a pattern. SOLUTION.

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EXAMPLE 2

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  1. Paramotoring A paramotor is a parachute propelled by a fan-like motor. The table shows the height h of a paramotorist t minutes after beginning a descent. Find the height of the paramotorist after 7 minutes. EXAMPLE 2 Look for a pattern

  2. EXAMPLE 2 Look for a pattern SOLUTION The height decreases by 250feet per minute. You can use this pattern to write a verbal model for the height. An equation for the height ish = 2000 – 250t.

  3. So, the height after 7minutes is h = 2000 – 250(7) = 250 feet. ANSWER EXAMPLE 2 Look for a pattern

  4. Banners You are hanging four championship banners on a wall in your school’s gym. The banners are 8feet wide. The wall is 62feet long. There should be an equal amount of space between the ends of the wall and the banners, and between each pair of banners. How far apart should the banners be placed? Begin by drawing and labeling a diagram, as shown below. EXAMPLE 3 Draw a diagram SOLUTION

  5. x + 8 + x + 8 + x + 8 + x + 8 + x 62 = 62 5x + 32 = 5x 30 = x = 6 ANSWER The banners should be placed 6feet apart. EXAMPLE 3 Draw a diagram From the diagram, you can write and solve an equation to find x. Write equation. Combine like terms. Subtract 32 from each side. Divide each side by 5.

  6. Write a verbal model. Then write an equation. STEP 1 EXAMPLE 4 Standardized Test Practice SOLUTION An equation for the situation is 460 = 30g + 25(16 – g).

  7. Solve for gto find the number of gallons used on the highway. STEP 2 The correct answer is B. ANSWER 30 12 + 25(16 – 12) = 360 + 100 = 460 EXAMPLE 4 Standardized Test Practice 460 = 30g + 25(16 – g) Write equation. 460 = 30g + 400 – 25g Distributive property 460 = 5g + 400 Combine like terms. 60 = 5g Subtract 400 from each side. 12 = g Divide each side by 5. The car used 12 gallons on the highway. CHECK:

  8. PARAMOTORING: The table shows the height h of a paramotorist after tminutes. Find the height of the paramotorist after 8 minutes. 2. So, the height after 8minutes is h = 2400 – 210(8) = 720 ft ANSWER for Examples 2, 3 and 4 GUIDED PRACTICE

  9. ANSWER The space between the banner and walls and between each pair of banners would increase to 9.5feet. for Examples 2, 3 and 4 GUIDED PRACTICE WHAT IF?In Example 3, how would your answer change if there were only three championship banners? 3.

  10. FUEL EFFICIENCY A truck used 28 gallons of gasoline and traveled a total distance of 428 miles. The truck’s fuel efficiency is 16miles per gallon on the highway and 12 miles per gallon in the city. How many gallons of gasoline were used in the city? 4. ANSWER Five gallons of gas were used. for Examples 2, 3 and 4 GUIDED PRACTICE

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