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vredina [299]
3 years ago
5

Michael and Imani go out to eat for lunch. Part A If their food and beverages cost $25.30 and there is an 8% meals tax, how much

is the bill? Enter your answer to the nearest cent. $ Part B After adding a tip, the total lunch cost was $32.24. What percentage tip did they give? Enter your answer to the nearest percentage.
Mathematics
1 answer:
bagirrra123 [75]3 years ago
5 0

a: 27.324 (rounded to the nearest cent is $27.32)

b: 18.0088% (rounded to the nearest percent is 18.01% or 18%)

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Step-by-step explanation:

We have been given that Jeanie stated that the equation of this line best fit for the scatter plot is y=\frac{1}{2}x+8.

Let us find the slope of the line of best fit using points (2,7) and (4,6) in slope formula.

\text{Slope}=\frac{y_2-y_1}{x_2-x_1}

\text{Slope of line of best fit}=\frac{6-7}{4-2}

\text{Slope of line of best fit}=\frac{-1}{2}

We can see that slope of line of best fit is -\frac{1}{2}.

Since the equation of a line written in slope-intercept is in form: y=mx+b, where m=slope of line, b= y-intercept.  

Upon substituting m=-\frac{1}{2} and coordinates of one point in slope-intercept form of equation we will  get,

6=-\frac{1}{2}\times 4+b

6=-2+b

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Upon substituting m=-\frac{1}{2} and b=8 in slope intercept form, we will get,

y=-\frac{1}{2}x+8

We can see that equation of the line of best fit is y=-\frac{1}{2}x+8. Jeanie got 1/2 as slope of the line of best fit, which is wrong, therefore, Jeanie's equation of the line of best fit is not correct.  

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Step-by-step explanation:

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