The expression for how both booths will cost for the same number of days (d) is 150 + 12d
Step-by-step explanation:
A company set up a food booth and a game booth at a county fair
We need to write an expression for how both booths will cost for the same number of days
Assume that the number of days is d for both booths
∵ The fee for the food booth is $100 + 5 dollars per day
∵ It used for d days
∴ The cost of the food booth = 100 + 5(d) ⇒ (1)
∵ The fee for the game booth is $50 + 7 dollars per day
∵ It used for d days
∴ The cost of the game booth = 50 + 7(d) ⇒ (2)
To find the cost for both booths in d days add (1) and (2)
∵ The cost for both booths = 100 + 5d + 50 + 7d
- Add the like terms
∴ The cost for both booths = (100 + 50) + (5d + 7d)
∴ The cost for both booths = 150 + 12d
The expression for how both booths will cost for the same number of days (d) is 150 + 12d
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