For this case we have a function of the form[tex]y = f (x),[/tex]where [tex]f (x) = - \frac {2} {3} x + 5[/tex]
We must find the value of the function when [tex]x = \frac {5} {2}[/tex]
So, we have:
[tex]f (\frac {5} {2}) = - \frac {2} {3} (\frac {5} {2}) + 5\\f (\frac {5} {2}) = - \frac {10} {6} +5\\f (\frac {5} {2}) = \frac {-10 + 30} {6}\\f (\frac {5} {2}) = \frac {20} {6}\\f (\frac {5} {2}) = \frac {10} {3}\\[/tex]
Thus, the value of the function is [tex]\frac {10} {3}[/tex]
Answer:
[tex]\frac {10} {3}[/tex]
