eureka math grade 5 module 2 lesson 8 homework answers

Eureka Math Grade 8 Module 5 Lesson 2 Answer Key

Engage ny eureka math 8th grade module 5 lesson 2 answer key, eureka math grade 8 module 5 lesson 2 example answer key.

Exercises 1–5

b. Does the function D = 16t 2 accurately represent the distance the stone fell after a given time t? In other words, does the function described by this rule assign to t the correct distance? Explain. Answer: Yes, the function accurately represents the distance the stone fell after the given time interval. Each computation using the function resulted in the correct distance. Therefore, the function assigns to t the correct distance.

Exercise 5. It takes Josephine 34 minutes to complete her homework assignment of 10 problems. If we assume that she works at a constant rate, we can describe the situation using a function. a. Predict how many problems Josephine can complete in 25 minutes. Answer: Answers will vary.

b. Write the two-variable linear equation that represents Josephine’s constant rate of work. Answer: Let y be the number of problems she can complete in x minutes. \(\frac{10}{34}\) = \(\frac{y}{x}\) y = \(\frac{10}{34}\) x y = \(\frac{5}{17}\) x

d. Compare your prediction from part (a) to the number you found in the table above. Answer: Answers will vary.

e. Use the formula from part (b) to compute the number of problems completed when x = -7. Does your answer make sense? Explain. Answer: y = \(\frac{5}{17}\) (-7) = -2.06 No, the answer does not make sense in terms of the situation. The answer means that Josephine can complete -2.06 problems in -7 minutes. This obviously does not make sense.

f. For this problem, we assumed that Josephine worked at a constant rate. Do you think that is a reasonable assumption for this situation? Explain. Answer: It does not seem reasonable to assume constant rate for this situation. Just because Josephine was able to complete 10 problems in 34 minutes does not necessarily mean she spent the exact same amount of time on each problem. For example, it may have taken her 20 minutes to do 1 problem and then 14 minutes total to finish the remaining 9 problems.

Eureka Math Grade 8 Module 5 Lesson 2 Problem Set Answer Key

b. Can you determine the value of the output for an input of x = -4? If so, what is it? Answer: When x = -4, the output is -5.

c. Does an input of -4 make sense in this situation? Explain. Answer: No, an input of -4 does not make sense for the situation. It would mean -4 bags of candy. You cannot purchase -4 bags of candy.

Question 8. Each and every day a local grocery store sells 2 pounds of bananas for $1.00. Can the cost of 2 pounds of bananas be represented as a function of the day of the week? Explain. Answer: Yes, this situation can be represented by a function. Assign to each day of the week the value $1.00.

Eureka Math Grade 8 Module 5 Lesson 2 Exit Ticket Answer Key

Question 2. Kelly can tune 4 cars in 3 hours. If we assume he works at a constant rate, we can describe the situation using a function. a. Write the function that represents Kelly’s constant rate of work. Answer: Let y represent the number of cars Kelly can tune up in x hours; then \(\frac{y}{x}\) = \(\frac{4}{3}\) y = \(\frac{4}{3}\) x

c. Kelly works 8 hours per day. According to this work, how many cars will he finish tuning at the end of a shift? Answer: Using the function, Kelly will tune up 10.67 cars at the end of his shift. That means he will finish tuning up 10 cars and begin tuning up the 11th car.

d. For this problem, we assumed that Kelly worked at a constant rate. Do you think that is a reasonable assumption for this situation? Explain. Answer: No, it does not seem reasonable to assume a constant rate for this situation. Just because Kelly tuned up 4 cars in 3 hours does not mean he spent the exact same amount of time on each car. One car could have taken 1 hour, while the other three could have taken 2 hours total.

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