Answer:
(a) We will form an equation of line from the points given (6,10) and (2,15)
Using:![y-y_1=\frac{y_2-y_1}{x_2-x_1}\cdot (x-x_1)](https://tex.z-dn.net/?f=y-y_1%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%5Ccdot%20%28x-x_1%29)
On substituting the values in the formula above we will get the required equation of line.
![y-10=\frac{15-10}{2-6}\cdot (x-6)](https://tex.z-dn.net/?f=y-10%3D%5Cfrac%7B15-10%7D%7B2-6%7D%5Ccdot%20%28x-6%29)
![\Rightarrow y-10=\frac{5}{-4}\cdot (x-6)](https://tex.z-dn.net/?f=%5CRightarrow%20y-10%3D%5Cfrac%7B5%7D%7B-4%7D%5Ccdot%20%28x-6%29)
On simplification we will get:
![y=\frac{1}{4}(-5x+70)](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B4%7D%28-5x%2B70%29)
(b) We need to tell at day 0 put x=0 in above equation:
![y=\frac{1}{4}(-5\cdot 0+70)](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B4%7D%28-5%5Ccdot%200%2B70%29)
![y=70](https://tex.z-dn.net/?f=y%3D70)
Anika worked for 70 hours on the set up crew on the day the fair arrived at the fairgrounds day 0.
Now, we need to tell decrease per day which is equal to the slope of line
To find the slope compare the equation with general equation which is y=mx+c where m is slope
Here, in ![y=\frac{1}{4}(-5x+70)](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B4%7D%28-5x%2B70%29)
which is the decrease per day.
Considering the given graph, the number of solutions for the system of equations is given by:
b.) one
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In a graph, the number of solutions is given by the number of times the lines intersect. Hence, in this problem, the system has one solution, and option b is correct.
More can be learned about a system of equations at brainly.com/question/24342899
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Answer:
Step-by-step explanation:
y+1 =(3/4)x+9/4
y=(3/4)x+1/4
the answer would be x=1 because if u do the math u get 3/2 and that simplified is 1 so this how i got the answer not 100% sure though but thats what i got