Julia and her brother, Emilio, are both saving to buy a new computer that costs $1,000. Julia is saving $100 a week and her brother is saving at a weekly rate of 10x-2, if x = the number of weeks of saving. Which of them will reach their $1000 goal first? Explain your answer.

If Julia is saving at a rate of $100 a week, and x = the number of weeks of savings, then to determine when she will have a $1000, the equation would be:

100x = 1000

x = 10 which means that Julia will reach her goal of $1000 in 10 weeks

Now let's look at Emilio. His weekly rate of savings is given by

10x - 2

Then to determine how many weeks it will take him to reach his goal, we set up the equation like this:

10x - 2 = 1000

Now we solve for x:

10x = 1002

x = 100.2 weeks

So, Julia will reach her goal MUCH faster than Emilio.