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Ch. 1 Lesson 5 and 6 Practice 1. Determine whether the relationship between the total amount Regina earned and the number of lawns she mowed is proportional by graphing on the coordinate plane. Choose the correct answer. Regina’s Earnings Lawns Mowed Total Earnings ($) 1 14 2 28 3 42 4 56
a. No, because the graph of the line connecting the ordered pairs passes through the origin. b. No, because the graph of the line connecting the ordered pairs does not pass through the origin. c. Yes, because the graph of the line connecting the ordered pairs passes through the origin. d. Yes, because the graph of the line connecting the ordered pairs does not pass through the origin.
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Ch. 1 Lesson 5 and 6 Practice 2. Determine whether the relationship between the two quantities shown in the graph is proportional. Choose the correct answer.
a. No, because the graph of the line connecting the ordered pairs passes through the origin. b. No, because the graph of the line connecting the ordered pairs does not pass through the origin. c. Yes, because the graph of the line connecting the ordered pairs passes through the origin. d. Yes, because the graph of the line connecting the ordered pairs does not pass through the origin. 3. Mrs. Lenz rented a scooter during her beach vacation. The cost of the scooter rental is shown for different periods of time. What does the point (7, 70) represent?
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Ch. 1 Lesson 5 and 6 Practice 4. Each week, Leslie jogs 20 minutes for every 10 minutes that she lifts weights. Is the number of minutes Leslie jogs each week proportional to the number of minutes that she lifts weights each week? Use the graph below to help determine if the relationship is proportional. Then choose the answer that explains your reasoning.
a. No, because the graph of the line connecting the ordered pairs representing minutes jogged and minutes lifting weights passes through the origin. b. No, because the graph of the line connecting the ordered pairs representing minutes jogged and minutes lifting weights does not pass through the origin. c. Yes, because the graph of the line connecting the ordered pairs representing minutes jogged and minutes lifting weights passes through the origin. d. Yes, because the graph of the line connecting the ordered pairs representing minutes jogged and minutes lifting weights does not pass through the origin.
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Ch. 1 Lesson 5 and 6 Practice 5. Ken and Tina rented go-karts at different amusement parks. This graph shows their costs compared to the amount of time they spent driving the go-karts. Whose cost for renting a go-kart is proportional to the number of minutes driving the go-kart? Choose the correct statement.
a. Ken’s, because the graph of the line passes through the origin b. Ken’s, because the graph of the line does not pass through the origin c. Tina’s, because the graph of the line passes through the origin d. Tina’s, because the graph of the line does not pass through the origin Solve each proportion. 6.
7. 8. 9. Assume all situations are proportional. 10. CLASSES For every girl taking classes at the martial arts school, there are 3 boys who are taking classes at the school. If there are 236 students taking classes, write and solve a proportion to predict the number of boys taking classes at the school.