i need the answer for an inequality

Question

Trevor is writing a paper that must be at most 50,000 words long. He has already written 23,210 words. Write an inequality to find the average number of words trevor must write per week if he wants to finish his paper in 5 weeks

 

 

 

Answer 1

To do inequalities, you just need to solve the equality and then figure out what side (higher or lower) the solution is on and put in the appropriate greater-than, less-than, greater-than-or-equal-to or less-than-or-equal-to sign.

 

Think about the equality for this one. What equation could we right for the average number of words per week that would put Trevor right at 50,000 after 5 weeks.

 

If we call the number of words per week, w, we would have

 

w = [an expression]   (You find the expression using the number of words he has to write and how many weeks he has.)

 

Now think about the inequality. Trevor wants to finish in five weeks or less. So as long as he writes at least this number of words per week, he'll make it. That means we want a greater-than-or-equal to sign:

 

w ≥ [your expression]

Answer 2

50000 - 23210 = 26790

 

26790 / 5 = 5358

 

So he needs to write at least 5358 words a week, or:

w > 5358