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Given that \newlinev=u+10tv=u+10t, find \newlinevv when \newlineu=7u=7 and \newlinet=6t=6.

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Composition of linear functions: find a valueright chevron icon

Full solution

Q. Given that \newlinev=u+10tv=u+10t, find \newlinevv when \newlineu=7u=7 and \newlinet=6t=6.
  1. Identify Given Formula and Values: Identify the given formula and values.\newlineWe are given the formula v=u+10tv = u + 10t, and the values u=7u = 7 and t=6t = 6. We need to substitute these values into the formula to find vv.
  2. Substitute Given Values: Substitute the given values into the formula.\newlineUsing the formula v=u+10tv = u + 10t, we substitute u=7u = 7 and t=6t = 6 to get v=7+10(6)v = 7 + 10(6).
  3. Perform Multiplication: Perform the multiplication within the formula.\newlineCalculate 10×610 \times 6 to get 6060.\newlinev=7+10(6)=7+60v = 7 + 10(6) = 7 + 60
  4. Add Values: Add the values to find vv.\newlineNow, add 77 to 6060 to get the final value of vv.\newlinev=7+60=67v = 7 + 60 = 67

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