NEED HELP QUICK! u dont have to give me the answer, giving me the equation to use would be just fine and greatly appreciated!

1 answer:

4 0

So for this we will be writing two equations: one representing rachel and the other with oliver. I'll be using the slope-intercept form, which is y = mx + b (m = slope, b = y-intercept). The slope is considered the constant rate of the equation, which in this case its "3 bracelets an hour" and "2 bracelets an hour". The y-intercept is considered the initial value, which in this case with Oliver "he already has 5 bracelets." Using the info above, these are our 2 equations:

Let x = # of hours and y = total bracelets

$y = 3x\\ y=2x+5$

With these equations, thanks to the transitive property (if a = b and a = c then b = c) she can set 3x and 2x + 5 equal to each other and solve for the number of hours it would take for them to have the same amount of bracelets.

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-17+ 1/4 x + 1/4 x + 31 = 24

wlad13 [49]

<h2><u>Answer:</u></h2><h2><u></u> $\boxed{x=20}$ <u></u></h2><h2><u></u></h2><h2><u>Solution Steps:</u></h2>

______________________________

<h3>1.) Combine like terms:</h3>

$\frac{1}{4}x+\frac{1}{4}x=\frac{1}{2}x$

<em> - We do this because we need 1 Number/Variable left over. </em>

<u>Equation at the end of Step 1:</u>

<u /> $-17+\frac{1}{2}x+31=24$ <u />

<em />

$-17+31=14$

<em> - We do this because we can only have 1 number on each side of the equals. (This doesn't count towards the number connected to the variable.)</em>

<u>Equation at the end of Step 2:</u>