Lesson 8: Systems of Equations and Inequalities Unit Test CE 2015
2 answers:
Answer:
We are asked to find which graph represents the solution of the given system of equations:
and
We find the intersection point of the two equations by solving these system of equations using elimination method as:
subtract equation (2) from equation (1) to obtain:
Also putting this value of x in equation (1) we get:
Hence, the intersection point is: (0.75,1.25).
Hence the graph that represents the solution of the system of given linear equations is attached to the answer.
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The linear equation that describes the pattern in the cost of renting a car is given by:
- D. c = 34d + 25
A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
In this problem:
- For each day, the cost of renting a car increases by 34, hence, the slope is of 34, and the equation is:
When d = 4, c = 161, and this is used to find b.
Hence, the equation is c = 34d + 25, and option D is correct.
You can learn more about linear functions at brainly.com/question/25823744