DUE LESSON 24 DAY 2 PRACTICE SET NAME Mahenze Example Mr. Nichols followed the road from the entrance of a park to his campsite. He drove 6 miles south, then 5 miles east, 3 miles south, and finally 7 miles east to the campsite. In all, how far did Mr. Nichols drive? Suppose Mr. Nichols had been able to drive straight from the entrance of the park to the campsite. How could you find that distance? You can use the diagram to help you solve this problem. Add the individual distances to find that Mr. Nichols drove a total of 6 +5+3+7= 21 miles. You can use the Pythagorean Theorem to find the distance that Mr. Nichols would have driven if he could have driven straight from the entrance to the campsite. The distance is the hypotenuse of a right triangle with leg lengths of 9 miles and 12 miles, so you can write and solve the equation 92 +122= c² and solve for c. Entrance PE Campsite had been able to drive straight from the entrance to his

DUE LESSON 24 DAY 2 PRACTICE SET NAME Mahenze Example Mr. Nichols followed the road from the entrance of a park to his campsite. He drove 6 miles south, then 5 miles east, 3 miles south, and finally 7 miles east to the campsite. In all, how far did Mr. Nichols drive? Suppose Mr. Nichols had been able to drive straight from the entrance of the park to the campsite. How could you find that distance? You can use the diagram to help you solve this problem. Add the individual distances to find that Mr. Nichols drove a total of 6 +5+3+7= 21 miles. You can use the Pythagorean Theorem to find the distance that Mr. Nichols would have driven if he could have driven straight from the entrance to the campsite. The distance is the hypotenuse of a right triangle with leg lengths of 9 miles and 12 miles, so you can write and solve the equation 92 +122= c² and solve for c. Entrance PE Campsite had been able to drive straight from the entrance to his

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter3: Math Models

Section3.5: Solve Uniform Motion Applications

Problem 306E: Sarah wants to arrive at her friend’s wedding at3:00. The distance from Sarah’s house to the...

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Sarah wants to arrive at her friend’s wedding at3:00. The distance from Sarah’s house to the weddingis 95 miles. Based on usual traffic patterns, Sarahpredicts she can drive the first 15 miles at 60 miles per hour, the next 10 miles at 30 miles per hour, and the remainder of the drive at 70 miles per hour. (a) How long will it take Sarah to drive the first 15 miles? (b) How long will it take Sarah to drive the next 10 miles? (c) How long will it take Sarah to drive the rest of the trip? (d) What time should Sarah leave her house?
Wedding Budget Adele and Walter found the perfect venue for their wedding reception. The cost is $9,850 for up to 100 guests, plus $38 for each additional guest. How many guests can attend if Adele and Walter want the total cost to be no more than $12,500?
Baling Hay In the first two trips baling hay around a large field, a farmer obtains 123 bales and 112 bales, respectively. Each round gets shorter, so the farmer estimates that the same pattern will continue. Estimate the total number of bales made after the farmer takes another six trips around the field.
Parent Volunteer Laurie was completing the treasurer’s report for her son’s Boy Scout troop at the end of the school year. She didn’t remember how many boys had paid the $24 full-year registration fee and how many had paid a $16 partial-year fee. She knew that the number of boys who paid for a full-year was ten more than the number who paid for a partial-year. If $400 was collected for all the registrations, how many boys had paid the full-year fee and how many had paid the partial-year fee?
Dana enjoys taking her dog for a walk, but sometimes her dog gets away and she has to run after him. Dana walked her dog for 7 miles but then had to run for 1 mile, spending a total time of 2.5 hours with her dog. Her running speed was 3 mph faster than her walking speed. Find her walking speed.
Carina is driving from her home in Anaheim to Berkeley on the same day her brother is driving from Berkeley to Anaheim, so they decide to meet for lunch along the way in Buttonwillow. The distance from Anaheim to Berkeley is 410 miles. It takes Carina 3 hours to get to Buttonwillow, while her brother drives 4 hours to get there. The average speed Carina’s brother drove was 15 miles per hour faster than Carina’s average speed. Find Carina’s and her brother’s average speeds.
Greek Mythology Can the Greek hero Achilles, running at 20 feet per second, ever catch a tortoise, starting 20 feet ahead of Achilles and running at 10 feet per second? The Greek mathematician Zeno said no. When Achilles runs 20 feet, the tortoise will be 10 feet ahead. Then, when Achilles runs 10 feet, the tortoise will be 5 feet ahead. Achilles will keep cutting the distance in half but will never catch the tortoise. The table shows Zeno’s reasoning. In the table, both the distances and the times required to achieve them form infinite geometric series. Using the table, show that both series have finite sums. What do these sums represent?