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Question: A grocery store owner budgets $5,000 to buy and maintain a booth for 300 days to give out samples of food. If she bought the booth for $1,400, how much money, in dollars, can she spend on food each day for samples and stay within budget? Write an inequality that represents this situation and indicate what the solution to the inequality will look like.

Answer:

a)1400 + 300x ≤ 5000

b) x ≤ 12 days

Step-by-step explanation:

a) Since the grocery store owner wants to stay within budget then, this means he would be spending at most $5,000

The word at most is represented by the inequality sign ≤ = Less than or equal to

Let x = Number of days

Hence,

Our inequality equation is

$1400 + 300× x ≤ $5000

1400 + 300x ≤ 5000

b) Solving for x

1400 + 300x ≤ 5000

300x ≤ 5000 – 1400

300x ≤ 3600

x ≤ 3600/300

x ≤ 12 days