Question

Someone please help i literally dont understand this at all

Answer 1

The biggest size of TV that they should buy is 91 inches.

The smallest size of TV that they should buy is 30 inches.

In Mathematics and Euclidean Geometry, a linear function is a type of function whose equation has a constant slope and it is graphically represented by a straight line on the xy-plane or cartesian coordinate.

For the biggest size of TV that they should, we would have to evaluate the
`T_(max)` function by substituting 132 inches for the viewing distance (d) as follows;

`T_(max)=(2d)/(3) +3\\\\T_(max)=(2 * 132)/(3) +3\\\\T_(max)=(264)/(3) +3\\\\T_(max)=88+3\\\\T_(max)=91\;in`

For the smallest size of TV that they should, we would have to evaluate the
`T_(min)` function by substituting 132 inches for the viewing distance (d) as follows;

`T_(min)=(d)/(4) -3\\\\T_(min)=(132)/(4) -3\\\\T_(min)=33 -3\\\\T_(min)=30\;in`