Many real world scenarios can be modeled using systems of equations. In fact, when we have two quantities that
are related and two ways in which those quantities are related, then we can often set up and solve a system.
Exercise #1: Jonathan has nine bills in his wallet that are all either five-dollar bills or ten-dollar bills.
(a) Fill out the following table to see the (b) If f represents the number of $5 bills and t dependence of the two
variables and how they represents the number of $10 bills, then what then determine how much money
Jonathan has. does the following expression calculate? Explain.
Number
of fives, f
0
Number
of tens, t
Amount of Money. S
PAT
b) If f represents the number of $5 bills and t represents the
number of $10 bills, then what does the following
expression calculate? Explain. 5f+ 10t
WW.
il
W
-
WWW/
WWW

TE
TOT

The length of a rectangle plus its width is 25 cm. the area is 156 square cm. what are the length and width of the rectangle? separate the answers with a comma.

Y=21.95x+10 y=22.45x solve by substitution

Ascientist studied a population of workers to determine whether verbal praise and/or tangible rewards affect employee productivity. in the study, some workers were offered verbal praise, some were offered tangible rewards (gift cards, presents, and some were offered neither. the productivity of each participant was measured throughout the study by recording the number of daily tasks completed by each employee. which inference might the scientists make based on the given information? a.) the number of daily tasks completed by each employee may influence the dependent variable, which is whether the employee receives verbal praise, tangible rewards, or neither. b.) verbal praise and/or tangible rewards may influence the independent variable, which is the number of daily tasks completed by each employee. c.) verbal praise and/or tangible rewards may influence the dependent variable, which is the number of daily tasks completed by each employee. d.) the dependent variables, which are verbal praise and tangible rewards, may influence the number of daily tasks completed by each employee.