Scott buys candy that costs $4 per pound. He will spend at least $36 on candy. What are the possible numbers of pounds he will buy?
Use p for the number of pounds Scott will buy.
Write your answer as an inequality solved for p .
$4p \geq $36
what ?
Apologies for the confusion.
Let's solve the problem step by step. We know that Scott buys candy that costs $4 per pound and he will spend at least $36.
To find the possible number of pounds Scott will buy, we can set up an inequality.
The cost of the candy (in dollars) is equal to the price per pound ($4) multiplied by the number of pounds (p):
Cost = $4p
Since Scott will spend at least $36 on candy, we can write the inequality:
$4p ≥ $36
This inequality states that the cost of the candy (4p) is greater than or equal to $36.
Simplifying the inequality, we divide both sides by 4:
p ≥ 9
This means that the possible numbers of pounds Scott will buy are 9 or more.
To solve this problem, we need to set up an inequality based on the given information.
We know that Scott buys candy that costs $4 per pound, so the cost of the candy is directly proportional to the number of pounds he buys. Therefore, we can write an equation:
Cost = $4 x Number of Pounds
The problem also states that Scott will spend at least $36 on candy. We can represent this as an inequality:
Cost ≥ $36
Substituting the equation for the cost, we have:
$4 x Number of Pounds ≥ $36
To find the possible values for the number of pounds, we need to solve this inequality for p:
$4p ≥ $36
To isolate p, we divide both sides of the inequality by $4:
p ≥ $36 / $4
Simplifying, we get:
p ≥ 9
So the possible numbers of pounds Scott will buy are p ≥ 9.