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This Scatter Plot Shows the Relationship Between the Age of a Refrigerator and the Amount of Electricity the Refrigerator Uses Each

Question

This scatter plot shows the relationship between the age of a refrigerator and the amount of electricity the refrigerator uses each day. Based on the line of best fit of the data, which is the best prediction of the amount of electricity used each day by a refrigerator that is 4 years old? 1.75kwh/day ) B. 2.25kwh/day C. 2.5kwh/day D. 3.0kwh/day

Answer

4.7 (217 Votes)
Verificación de expertos
Vesper Master · Tutor for 5 years

Answer

To predict the amount of electricity used each day by a refrigerator that is 4 years old using the line of best fit, we need to follow these steps:Step 1: Determine the slope of the line of best fit.The slope (m) of a line can be calculated using two points on the line with the formula: where is the change in the y-values and is the change in the x-values of the two points.From the picture details, we have two points on the line: (0, 0) and (6, 2.8).Step 2: Calculate the slope using the given points. Step 3: Use the slope to find the y-value (electricity consumption) when x (age of the refrigerator) is 4.We can use the point-slope form of the equation for a line, which is: where \((x_1, y_1)\) is a point on the line (we can use the point (0, 0) since it's given) and m is the slope.Step 4: Plug in the values and solve for y when x is 4. Step 5: Round to the nearest option provided.The value of kWh/day is closest to option A, which is kWh/day.Answer:A.