The sum of two numbers is 66. The larger number is 6 more than the smaller number. What are the numbers?
2 answers:
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Question: (a) What are the slope and the y-intercept for the equation that represents the number of baskets of berries the workers picked over a period of time?
Answer:
Given equation is y = 6x + 8.
Where y represents the number of baskets of berries the workers picked over a period of time x in hours.
Compare with slope intercept form y=mx+b, we get m=6 and b=8
Hence slope is 6 and y-intercept is 8.
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Question: (b) What are the rate of change and the initial amount? Explain the meaning of the rate of change and the initial amount for the situation.
Answer:
Rate of change means slope so answer is 6.
Initial amount means y-intercept so that is 8.
rate of change of 6 means six baskets of berries are picked by workers in 1 hour.
Initial amount of 8 means there was 8 baskets of berries already filled in the beginning.
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Question: (c) Use graph paper to draw a graph representing the situation. Label the axes appropriately.
Answer:
first we graph y-intercept that is at point (0,8)
slope = 6 means make another point which is 6 unit up then 1 unit right from (0,8) so the new point is at (1,14)
Hence final graph is the line joining both points.
