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3-3 Mini Assessment | Constant of Proportionality in Graphs




Question
POSSIBLE POINTS: 1
The relationship between the number of ounces of tea purchased and the total cost of the tea is proportional as shown in the graph.



Which equation models this relationship?


y = 7/4x

y = 4/7x


y = 4/1x


y = 1/4x

I need the answer for 3-3 Mini Assessment | Constant of Proportionality in Graphs-example-1

1 Answer

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Answer: y= (7/4)x

Explanation:

Build a table of representative values and then calculate the slope between any 2 of the points. I'll pick (2,3.5) and (8,14) [See attachment. ]

The slope is the Rise/Run:

Rise = (14 - 3.5) = 10.5

Run = (8-2) = 6

Slope = Rise/Run: (10.5/6) = 1.75

The equation should read y = 1.75x.

None of the options works, as written, but note that 7/4 looks close to 1.75. In fact, 7/4 = 1.75.

Use the equation y = 1.75x and enter several values of x (the ounces purchased) and y (the total cost of the purchase). The attachment summarizes the results (Predicted), along with the actual values (Actual) taken from the graph. Excellent correlation, considering the difficulty in making precise graph readings.

Therefore y = (7/4)x

I need the answer for 3-3 Mini Assessment | Constant of Proportionality in Graphs-example-1
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