Answer:
Step-by-step explanation:
Given
Represent Babysitting with B
Represent Gas Station with G
Total workhours = At most 15
Earnings = At least $90
First, we need to represent the work hours as inequality
B + G = At most 15
At most 15 means less than or equal to 15.
So, we have:
Next, we represent the earnings as inequality.
6 hours of babysitting is: 6B
10 hours at gas station is: 10G
So:
6B + 10G is at least 90
At least 90 means greater than or equal to 90
So, we have:
Answer:
Please check the attached graph.
From the graph, it is clear that option B is the correct option.
Step-by-step explanation:
Given the function
Determining the y-intercept
We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
so
substituting x = 0 in the fuction
Apply rule:
Therefore, the point representing the y-intercept is:
Determining the x-intercept
We know that the value of the x-intercept can be determined by setting y = 0, and determining the corresponding value of x.
so
substituting y = 0 in the function
Using the zero factor principle
if ab=0, then a=0 or b=0 (or both a=0 and b=0)
We know that can not be zero or negative for x ∈ R
Thus, NONE represents the x-intercept.
Please check the attached graph.
From the graph, it is clear that option B is the correct option.
