Write an equation for each situation using the two given variables.(a) Gwen received a gift card for $400. She uses it each month to treat herself to a mani-pedi for $35. Let D be the money on her gift card after m months.
Initially, she had $400
Every month, this amount decreases by the amount she spends, which is $35
So, the amount she has used after 'm' months is: 35 * m
The amount left after 'm' months
= Initial - Money used
= 400 - 35*m
So,
D = 400 - 35m
To find the equation for the situation, let's break down the information given:
Gwen received a gift card for $400. This means that the initial amount on the gift card, represented by D, is $400.
She uses it each month to treat herself to a mani-pedi for $35. This means that every month, the amount on her gift card decreases by $35.
Let's express this mathematically:
The initial amount on the gift card is $400, so D = 400.
After each month, the amount on the gift card decreases by $35, so we subtract $35 from the previous amount. Since we are considering "m" months, the equation becomes:
D = 400 - 35m
Therefore, the equation for this situation is D = 400 - 35m, where D represents the amount on her gift card after m months.