Asked by jy
he graph shows the relationship between the weight of a box and the number of books added to the box.
A graph shows number of books labeled 1 to 10 on the horizontal axis and weight of box (pounds) on the vertical axis. A line increases from 1 to 6.
What function represents the weight of a box based on x, the number of books?
f(x) = 0.5x + 1.5
f(x) = 0.75x + 2
f(x) = 1.5x + 0.5
f(x) = 2x + 0.75
All Answers 1
Answered by
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f(x) = 0.75x + 2
Reason: Using two points from the graph (for example at x = 1 the weight is 2.75 lb and at x = 6 the weight is 6.5 lb), the slope is (6.5 − 2.75)/(6 − 1) = 3.75/5 = 0.75. Plugging one point into y = 0.75x + b gives b = 2, so f(x) = 0.75x + 2.
Reason: Using two points from the graph (for example at x = 1 the weight is 2.75 lb and at x = 6 the weight is 6.5 lb), the slope is (6.5 − 2.75)/(6 − 1) = 3.75/5 = 0.75. Plugging one point into y = 0.75x + b gives b = 2, so f(x) = 0.75x + 2.
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