The graph below shows a line of best fit for data relating the number of marbles added in a jar to the total weight of the jar, in grams. the line of best fit used to model the data is y = 4.95x + 160.03. which statement is true for the graph? a. the slope of the line means that, on average, for every 1 gram increase in the weight of the jar, approximately 5 marbles are added to it. b. the slope of the line means that, on average, for every 1 marble added to the jar, the weight of the jar increases by approximately 8 grams. c. the y-intercept of the line means that, initially, there were about 160 marbles in the jar. d. the y-intercept of the line means that the weight of the empty jar is about 160 grams.

D.  

The y-intercept of the line means that the weight of the empty jar is about 160 grams.

Step-by-step explanation:

We know that the equation of line is given by , where m is the slope of the line and c is the initial amount .

For the given linear equation

where x is the number of marbles added, and y (dependent variable ) is the weight of the jar.

Slope of line m= 4.95 which is approximately 5 , thus, for every increase in marble, weight of jar increased by approx 5 gram.

To find the y intercept , put x=0, we get

y=160.03 which means if there is no marble then the weight of the jar = 160.03 grams or approximately 160 grams.

Thus, The y-intercept of the line means that the weight of the empty jar is about 160 grams.

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f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

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