High School

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a) What equation best represents the line of best fit?

A. \( y = 30x - 159 \)
B. \( y = 30x + 159 \)
C. \( y = -30x - 159 \)

b) If the temperature is 50°, approximately how much ice cream will the shop sell?

A. $1341
B. $1247
C. $5423
D. $3000

Answer :

The provided options do not match the correct line of best fit equation y = -3204 + 1.662x from the reference material. Substituting x=50 into the correct equation gives an approximate sales figure of $1280.10, which is not listed among the given options.

To determine the equation that best represents the line of best fit, we examine the given formulas. Unfortunately, none of the provided equations (a. $1341, b. y=30x-159, c. $1247, d. y=30x+159, e. $5423, f. y=-30x-159, g. $3000) match the line of best fit equation given in the reference material, which is y = -3204 + 1.662x.

Therefore, we cannot select any of the given equations as the correct line of best fit.

To approximate how much ice cream the shop will sell at a temperature of 50°, we substitute x=50 into the equation y = -3204 + 1.662x. So we calculate

y = -3204 + 1.662(50)

= -3204 + 83.1

= $1280.10 approximately.

However, this answer is not found among the given options a-g, suggesting that either there's been some mix-up with the options provided or additional context is needed to provide a conclusive answer.

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