Question

Rodolpho uses a prepaid gas card to spend $35 each week for gas. After the first week, he has $140 left on the card. After everything he second week he has $105, and so on. Which equation represents the cash balance on his card after t weeks

Answer 1

The equation that represents the cash balance on Rodolpho's prepaid gas card after t weeks is Balance = 175 - 35t, where t is the number of weeks.

Step-by-step explanation:

The equation that represents the cash balance on Rodolpho's prepaid gas card after t weeks can be derived from the information given. We know that every week, he spends $35 on gas, which decreases the balance on his card by that amount. If he starts with $140 after the first week, we can establish the initial balance (before any purchase) as $175. Thus, the formula to calculate the remaining balance after t weeks would be:

Balance = Initial balance - (Weekly spending × Number of weeks)

Balance = 175 - (35 × t)

So, the equation that represents the balance on the card after t weeks is:

Balance = 175 - 35t

Answer 2

C=175-35t

Step-by-step explanation:

Each week - $35

After the 1st week - has $140 left

So, at the beginning of the first week he has $140+$35=$175 on the card.

Now,

Initial amount of monay = $175

Spent each week= $35

Number of weeks = t

Spent in t weeks =$35t

The cash balance C on his card after t weeks =$175-$35t (left)

So, the equation is

`C=175-35t`