Smayo99
Answered

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Rachel can make 3 bracelets in an hour. Oliver can make only 2 bracelets in an hour, but he already has completed 5 bracelets. Explain to Rachel how she can use a system of equations to determine when she will have the same number of bracelets as oliver.

Sagot :

Since rachel makes 3 bracelets an hour, her pinear equstion should be y=3h. 3 represents the rate of change and h represents the number of hours as a variable.
Oliver's linear equation is y=2h+5 because 2 is the rate of chabge and 5 is the b value or the y intercept in a linear equation y=mx+b. To find when both have the same number of bracelets, we find the point of intersection...
2h+5=3h
5=3h-2h
5=h
Therefore in 5 hours, both will have the same amount of bracelets.
Hope this helps;)

Answer:

5 hours and 15 bracelets

Step-by-step explanation:

Rachel makes 3 bracelets per hour so you can set that up as the equation y=3x.  Oliver can make 2 bracelets per hour but already has 5 so the equation for that is y=2x+5.  These equations form a system of equations because the values for x and y are the same in both equations. This is true because the goal is to find out when Rachel and Oliver swell the same amount of bracelets. In order to solve this, you must set both of the equations equal to each other, this can be done because both equations are equal to y.  The equation you now have is 3x = 2x+5.  This can be solved as you would solve any linear equation; by isolating the x value then dividing it.  In this case, when you do this you subtract 2x from both sides then get x=5 there is not a number multiplied by x so dividing, in this case, is not necessary.  Now plug the value of x back into one of the original equations, y=15 should be the answer.  Now you know that after 5 hours both Rachel and Oliver will have made 15 bracelets.  

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