FCS(43) YoutubeGulzes 2Grade EoolQuitek chec:Dettalathslopeinter:th instructure comcourses104464 exteinalaltools/retrieverdispiayafu?ReturnNex10 pointsA city manager made a scatter plot of the number of retail stores in the city over the years. The scatter plot had a trend line with an equation of y=11x+12, where y is the total number of retail stores and x is the number of years since 1990 .When Daryl and his family moved to the city there were 133 retail stores. Use the equation to determine the year that Daryl and his family moved to the city.Daryl and his family moved to the city in the year type your answer.
Q. FCS(43) YoutubeGulzes 2Grade EoolQuitek chec:Dettalathslopeinter:th instructure comcourses104464 exteinalaltools/retrieverdispiayafu?ReturnNex10 pointsA city manager made a scatter plot of the number of retail stores in the city over the years. The scatter plot had a trend line with an equation of y=11x+12, where y is the total number of retail stores and x is the number of years since 1990 .When Daryl and his family moved to the city there were 133 retail stores. Use the equation to determine the year that Daryl and his family moved to the city.Daryl and his family moved to the city in the year type your answer.
Equation of Trend Line: We have the equation of the trend line: y=11x+12, where y is the total number of retail stores and x is the number of years since 1990. We know that when Daryl's family moved, there were 133 retail stores.
Find Year of Move: To find the year they moved, we need to solve for x when y=133. So we set up the equation: 133=11x+12.
Subtract to Isolate x: Subtract 12 from both sides to isolate the term with x: 133−12=11x.
Calculate Result: Now we calculate: 133−12=121. So we have 121=11x.
Divide to Solve x: Divide both sides by 11 to solve for x: 121÷11=x.
Final Calculation: Calculate the division: 121÷11=11. So x=11.
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