Mr. Morris already had $200.00 in his bank account. Thereafter he started to deposit $15.00 each month.
Now lets say he saved money for 'x' months.
Part A. The equation that can represent Mr. Morri's savings is given by:
Savings after 'x' months is [tex]=15\times x+200=15x+200[/tex]
Here, it can be seen that Mr. Morris had 200 dollars in his bank account now whatever he is depositing each month will be an additional amount in addition to that of $200.00.
So the desired equation for Mr. Morris's savings is [tex]15x+200[/tex].
Part B. Using the previous equation that represents the savings, we can calculate how much Mr. Morris has saved for 6 months.
Since we know that 'x' represents the number of months, we can put x=6 in the equation and we get:
[tex]15\times 6+200=90+200=290[/tex]
So, Mr. Morris has saved $290.00 after 6 months.
Part C. Now, we need to check if Mr. Morris will have saved $500.00 over the period of 2 years.
There are 12 months in 1 year, so there are [tex]2 \times 12=24[/tex] months in 2 years.
Plugging x=12 in the equation that represents the savings, we get:
[tex]15\times 24+200=560[/tex]
Hence, we can see that he will have saved $560.00 over 2 years. Therefore, Mr Morris can buy the gift of $500.00 for Mrs. Morris for their 20th anniversary.
