Answer with explanation:
Number of Cars fixed in third week= 391 cars
Number of Cars fixed in 13th week = 361 cars
As it is given that reduction in the number of cars each week is linear.
Number of Week =X axis
Number of Cars fixed = Y axis
Taking two points as (3, 391) and (13,361) and finding the equation of linear function:
Equation of line Passing through two points (3, 391) and (13,361) is given by:
[tex]\Rightarrow \frac{y-y_{1}}{x-x_{1}}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\Rightarrow \frac{y-361}{x-13}=\frac{391 -361}{3-13}\\\\\Rightarrow \frac{y-361}{x-13}=\frac{30}{-10}\\\\\Rightarrow \frac{y-361}{x-13}=-3\\\\\Rightarrow y-361=-3 x+39\\\\\Rightarrow 3 x+y=361+39\\\\\Rightarrow 3 x+y=400[/tex]
Equation of function to show the number of cars seen each week by the mechanic is:
⇒ 3 x+y=400
