First isolate y
3x + 2y = 14
-3x -3x
2y = -3x + 14
y = -3/2x + 14/2
y = -3/2x + 7
X-intercept is found when y = 0
0 = -3/2x + 7
-7 = -3/2x
x = 14/3
x-in. = (14/3,0)
We need a pic to see what is the shape lol
Answer:
The explicit function is: 
And the number of lights after 33 weeks will be 252.
Step-by-step explanation:
Given that:
Total street lights = 153
Let x be the number of weeks
Then the number lights after x weeks will be 3x
This is a linear function where the y-intercept is 153 and slope is 3.
It can be written as: y = mx+b
The function is:

Putting the values for x will give us the number of total lights after that number of weeks.
To find, how many street lights were there at the end of 33rd week,
Putting x = 33

Hence.
The explicit function is: 
And the number of lights after 33 weeks will be 252.
Answer:
6·0.5 + 7·0.1 + 8·0.2 + 9·0.2 = 7.1
So the correct answer is 7.1 years.