Question

Find an equation for the time it takes to produce personalized chocolate bars. (Use the first and last values in the table to calculate the slope, then use the first value to calculate the y-intercept. Round the slope to three decimal places and the y-intercept to two decimal places.)

a. ( y = 2.345x + 4.67 )
b. ( y = -2.345x - 4.67 )
c. ( y = 4.67x + 2.345 )
d. ( y = -4.67x - 2.345 )

Answer 1

The equation for the time to produce personalized chocolate bars is y = 0.09x + 35.25, with a slope of 0.09 and a y-intercept of approximately 35.25.

Step-by-step explanation:

To find an equation for the time it takes to produce personalized chocolate bars, you need to calculate the slope (m) and the y-intercept (b) from the given data points. According to the information, the slope is approximately 0.09. Using the sums provided for the median x and y values (1264 and 219.5 respectively), and the calculated slope, we can find the y-intercept through the formula b = y - mx, which translates to b = 219.5 - 0.09(1264). This simplifies to b ≈ 35.25. Therefore, the equation of the line representing the time to produce personalized chocolate bars is y = 0.09x + 35.25.