Question

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.

Answer 1

For the answer to the question above, Since Rachel makes 3 bracelets an hour, her linear equation 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 change 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.