Solve this In/Out table using an equation.
In= 5,6, 8, 10, 12
Out= 61, 75, 100, 125, 150
To solve the In/Out table using an equation, we need to find a pattern that relates the inputs (In) to the outputs (Out).
Looking at the numbers, we can observe that the Out values seem to be multiples of the corresponding In values. For example, 61 is slightly more than 5 times 10, 75 is exactly 5 times 15, 100 is exactly 5 times 20, 125 is exactly 5 times 25, and 150 is exactly 5 times 30.
Based on this pattern, we can conclude that the equation relating the inputs and outputs in this In/Out table is:
Out = 5 × In
To verify this equation, we can substitute each input value into the equation and check if it indeed gives the corresponding output value.
For In = 5:
Out = 5 × 5 = 25 (not equal to 61)
For In = 6:
Out = 5 × 6 = 30 (not equal to 75)
For In = 8:
Out = 5 × 8 = 40 (not equal to 100)
For In = 10:
Out = 5 × 10 = 50 (not equal to 125)
For In = 12:
Out = 5 × 12 = 60 (not equal to 150)
Since the equation "Out = 5 × In" does not give us the correct outputs for this In/Out table, we can conclude that there is no simple linear equation that can solve this particular problem. It is possible that there is a more complex equation or pattern at play that we haven't identified.