James has saved $50. He wants to buy a DVD player for $149 in about 5 months. To find out how much he should save each week he wrote 50+20x=149. Explain his equation.
What do you think?
how many weeks are in the average month?
how many weeks on average are in 5 months?
in this equation,
50= initial amount
149= total cost of dvd player
20= average # of weeks in 5 months
x= how much he needs to save per week
Write one additional audit question for each of the categories (board, staff, donors and fund raisers, clients/customers, volunteers, and society) listed in the sample audit in Appendix B of your text.
To help James figure out how much he should save each week to be able to afford a $149 DVD player in about 5 months, he has written the equation "50 + 20x = 149."
Let's break down this equation step by step:
1. James currently has $50 saved.
We represent this amount as 50.
2. He wants to save some money each week for 5 months.
To determine the total number of weeks, we multiply 5 (months) by 4.3 (average number of weeks in a month) to get approximately 21.5 weeks. However, since we can't have fractional weeks, we can approximate it to 21 weeks.
3. James plans to save the same amount each week.
We represent the amount he will save each week as 'x.'
Now let's put all these pieces together into an equation:
- James initially has $50: 50.
- He wants to save for 21 weeks at a fixed rate 'x' per week.
- The amount he will save each week can be represented as 20x since we multiply the number of weeks (21) by the consistent amount saved each week ('x'). This gives us a total of 20x.
If we add his initial savings ($50) to the amount he saves each week (20x), we should get the total amount he will have saved after 21 weeks, which is $149 (the cost of the DVD player).
Therefore, we can write the equation as:
50 + 20x = 149
By solving this equation for 'x,' we'll find out how much James needs to save each week to reach his goal of $149 in 21 weeks.