Given:
Total amount of bike = $150
Alma gives her mom $40 at the time of purchase and continues to pay her $10 each month until the bike is paid for in full.
Alma's equation: [tex]y=40x+10[/tex]
To find:
Whether her equation is correct or not.
Solution:
Let y be the amount that she will have paid her mom after x months.
She pays $10 each month.
She will $10x in x months.
Initially she gives $40 to her mom at the time of purchase. So, total amount she pays after x months is
Total amount [tex]=40+10x[/tex]
Since, y represents the amount that she will have paid her mom after x months, therefore
[tex]y=40+10x[/tex]
Alma multiply the variable x with 40 instead of 10.
Hence, Alma is incorrect and the correct equation is [tex]y=40+10x[/tex].
