Bobby wants to go on a school trip that will cost him $250. He comes up with an equation that represents how much he needs to save each week as follows: 25w+30=250, where W is the number of week spent saving.
If he has 9 weeks to save will you have enough money to go on the trip? Explain.
Yes, Bobby will have enough money if he saves for 9 weeks. You can find this through either substituting w for 9 in the equation, or solving the equation itself.
Substituting:
[tex]25(9)+30[/tex] Substitute w for 9.
[tex]225+30[/tex] Simplify.
[tex]225+30=255[/tex] Solve.
255 is greater than 250, so yes, he will have enough money saved.
Solving the equation:
[tex]25w+30=250[/tex] Original Equation
[tex]25w=220[/tex] Subtract 30 from both sides.
[tex]w=8.8[/tex] Divide both sides by 25.
The number of weeks he needs is 8.8. When rounding it up, you get 9.
