In a two-variable linear equation for total cost, each letter counts one kind of item. The coefficient, the number multiplying a letter, gives the price of one item; the whole term gives the cost of all items of that kind. Read both unit prices, then subtract to find how much more one costs. The number after the equals sign is the group's total, not a unit price.
Hints
- Hint 1
A coefficient is the number multiplying a letter. Since counts single-day passes, which number in gives the price of one single-day pass?
- Hint 2
The term gives the cost of all the weekend passes, not just one. Read the price of one weekend pass from its coefficient, then find the difference between the two prices.
Step-by-step
Read the prices from the coefficients
Step 1Find the single-day price
No Desmos needed. The equation already shows each pass's price. Since counts single-day passes, the coefficient in means $12 for one single-day pass. Multiplying by gives the cost of all of them.
- Step 2
Find the weekend price
Since counts weekend passes, the coefficient in means $18 for one weekend pass. The full term gives the cost of all the weekend passes.
- Step 3
Find how much more the weekend pass costs
Find the difference by subtracting the single-day price from the weekend price:
The $1,980 is the group's total, not a price to subtract. So a weekend pass costs $6 more than a single-day pass. Choice D.