Let's analyze the given equation [tex]\( 750 + 20x = y \)[/tex]. This is a linear equation where [tex]\( y \)[/tex] represents the total amount of money in the account and [tex]\( x \)[/tex] represents the number of weeks Charmaine has been adding money.
First, we will find the change per week in the amount of money in the account:
The term [tex]\( 20x \)[/tex] indicates the change in the total amount [tex]\( y \)[/tex] based on the number of weeks [tex]\( x \)[/tex]. This means that each week, the amount of money in the account changes by [tex]\( \$20 \)[/tex].
Therefore, the change per week in the amount of money is:
[tex]\[ \$20 \][/tex]
Next, let’s find the starting amount of money in the account:
The term [tex]\( 750 \)[/tex] is the constant term in the equation, which represents the initial amount in the account when [tex]\( x = 0 \)[/tex]. This means at the start (week 0), the total amount of money [tex]\( y \)[/tex] is [tex]\( \$750 \)[/tex].
Therefore, the starting amount of money in the account is:
[tex]\[ \$750 \][/tex]
So, summarizing our findings:
1. Change per week in the amount of money:
[tex]\[ \$20 \][/tex]
2. Starting amount of money in the account:
[tex]\[ \$750 \][/tex]
