Question

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equation in standard form
$15x + 60y = 450$

equation in slope-intercept form

how many bracelets can she make if she makes 0 necklaces?

Explanation:

Step1: Identify variables

Let \( x \) represent the number of necklaces and \( y \) represent the number of bracelets. The equation is \( 15x + 60y = 450 \). We need to find \( y \) when \( x = 0 \).

Step2: Substitute \( x = 0 \) into the equation

Substitute \( x = 0 \) into \( 15x + 60y = 450 \), we get \( 15(0) + 60y = 450 \).

Step3: Solve for \( y \)

Simplify the equation: \( 0 + 60y = 450 \), which is \( 60y = 450 \). Then divide both sides by 60: \( y=\frac{450}{60} = 7.5 \). But since we can't make half a bracelet, maybe there's a context where we consider whole numbers, but mathematically, the solution is \( y = 7.5 \). Wait, maybe the equation is about time or materials, but following the math:

Wait, let's re - calculate: \( 450\div60=\frac{450}{60}=\frac{15}{2} = 7.5 \). But if we assume that the question is about a real - world situation where we can have a non - integer (maybe a fraction of a bracelet is not possible, but the equation gives \( y = 7.5 \)).

Answer:

If we follow the equation \( 15x + 60y=450 \) and substitute \( x = 0 \), we get \( y = 7.5 \). If we consider the context of making bracelets (maybe the equation is about resources), the number of bracelets she can make is \( 7.5 \) (or 7 if we round down, but mathematically from the equation it's \( 7.5 \)).