the total number of laptops ar lightning school at the end of 2020 is 1134
Explanation
Step 1
Let
x represents the year after 2015=2020-2015=
x=5
In 2015, there were 759 laptop, Starting in 2016, the school bought 75 more laptops at the end of each year,it is
[tex]\begin{gathered} T(x)=75x+759 \\ \end{gathered}[/tex]let's check
in 2015
[tex]\begin{gathered} x=0 \\ T(0)=75\cdot0+759 \\ T(0)=759 \end{gathered}[/tex]Step 2
now, we need the total for 2020
[tex]\begin{gathered} x=\text{ number of years after 2015} \\ x=2020-2015=5 \\ \text{replace} \\ T(x)=75\cdot x+759 \\ T(5)=75\cdot5+759 \\ T(5)=375+759 \\ T(5)=1134 \end{gathered}[/tex]Hence, the total number of laptops ar lightning school at the end of 2020 is 1134