Question 1175761: Maria is a student assistant at the mathematics department. Since she is hardworking and pleasant to all, the head of the department decides to give her an additional Php100 every week on top of the Php50 per hour rate.
a. If Maria works for 4 hours a day, how much does she receive in a week(5 working days)?
b. How much will she receive if she works 5 hours a day?
c. If x is the number of hours she works in a day, write an expression that gives how much she should receive each week
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! if she works 4 hours each day, then she makes 100 plus 50 * 5 * 4 = 100 + 250 * 4 = 100 + 1000 = 1100 php each week.
if she works 5 hours each day, then she makes 100 plus 50 * 5 * 5 = 250 * 5 = 100 + 1250 = 1350 php each week.
if she works x hours each day, then she makes 100 plus 50 * 5 * x = 100 + 250 * x each week.
that's your expression for the number of php she makes each week.
the expression is 100 + 50 * 5 * x.
this is simplified to 100 + 250 * x.
wen x = 4, the expression becomes 100 + 250 * 4 = 1100
when x = 5, the expression becomes 100 + 250 * 5 = 1350.
that expression is actually the right side of the equation for the amount of php she makes each week.
if you let r = the amount of php she makes each week, then the equation becomes:
r = 100 + 250 * x
when x = 4, the equation becomes r = 100 + 250 * 4 = 1100.
when x = 5, the equation becomes r = 100 + 250 * 5 = 1350.
you can graph this equation by replacing r with y.
the equation becomes y = 100 + 250 * x
the graph looks like this.
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