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Question
Mason is purchasing wooden blocks to build a birdhouse. Each block costs $1.80, and Mason wants to spend less than $36. Which inequality represents all the possible number of blocks, n, that Mason can buy to stay within his budget?
Responses
A n > 20n > 20
B n < 20n < 20
C n ≥ 20n ≥ 20
D n ≤ 20n ≤ 20
The cost of each block is $1.80 and Mason wants to spend less than $36. Therefore, the inequality representing all the possible number of blocks that Mason can buy is:
1.80n < 36
This inequality represents the condition that the total cost (1.80n) should be less than $36. Thus, the correct answer is:
B) n < 20
To find the inequality that represents all the possible number of blocks that Mason can buy to stay within his budget, we can set up the equation:
1.80n ≤ 36
Simplifying the inequality, we have:
n ≤ 36/1.80
n ≤ 20
Therefore, the answer is D. n ≤ 20.
To find the inequality that represents all the possible number of blocks, n, that Mason can buy to stay within his budget, we need to set up an equation that relates the cost of the wooden blocks to his budget.
Let's assume that Mason buys x number of blocks. Since each block costs $1.80, the total cost of the blocks would be 1.8x dollars. We want this cost to be less than $36, so we can set up the inequality:
1.8x < 36
Now, we can simplify this inequality by dividing both sides by 1.8:
x < 36 / 1.8
Simplifying further, we get:
x < 20
This means that Mason can buy any number of blocks less than 20 to stay within his budget.
So, the correct inequality is n < 20.
Therefore, the correct answer is B: n < 20.