Respuesta :
Answer:
a. Rob since he adds more per week
b. In 1 week they will have the same amount
Step-by-step explanation:
equation: 25+30x = 50+5x
25x = 25
x = 1 -- one week
Question:
Rob and Michael are saving money. Rob starts with $25 in his saving account and adds $30 per week. Michael starts with $50 in his saving account and $5 each week.
a. After 5 weeks, who has more money in their savings account? Explain how you know?
b. After how many weeks will Rob and Michael have the same amount of money in their saving accounts? write an equation.
Answer for (a)
a. Rob has more money in his account by five weeks.
Step-by-Step explanation:
I multiplied both Rob and Michael's deposit each week by 5, Rob's output was $150 by five weeks + his other starting deposit of $25 equaling $175.00. Michael's output was $5 each week which, multiplied by 5 equals $25. Adding this to the first $50 deposit which equals $75.00
Answer for (b)
b. To find out when Rob and Michael will have the same amount of money in their saving accounts, we can set up an equation to represent their savings over time.
Let x be the number of weeks needed for them to have the same amount of money.
Rob's savings after x weeks: $25 + $30x
Michael's savings after x weeks: $50 + $5x
To find the number of weeks when they will have the same amount saved:
$25 + $30x = $50 + $5x
$25 + $25x = $50
$25x = $25
x = 1
Therefore, Rob and Michael will have the same amount of money in their saving accounts after 1 week.
Hope this helps!