Question

Norman wants to spend some time drawing and using the computer before dinner. Dinner will be ready in 45 minutes or less. He wants to spend at least 25 minutes drawing. Which graph represents the amounts of time Norman can spend drawing and using the computer?

Answer 1

Answer-

Graph 1 represents the amounts of time Norman can spend drawing and using the computer.

Solution-

Taking,

x = Drawing time (in minutes)

y = Computer time (in minutes)

Norman wants to spend some time drawing and using the computer before dinner, which will be ready in 45 minutes or less. i.e

$x+y\leq 45$

Taking a point origin (0, 0), and putting it in the equation,

$\Rightarrow 0+0\leq 45\\\\\Rightarrow 0\leq 45$

As it satisfies the equation, so the shaded region will be towards origin.

Norman wants to spend at least 25 minutes drawing. i.e

$x\geq 25$

Taking a point origin (0, 0), and putting it in the equation,

$0\ngeqslant 25$

As it does not satisfy the equation, so the shaded region will be to the opposite to origin.

Plotting the graph, the correct option is A.

Answer 2

let

x-------> amounts of time Norman can spend drawing

y-------> amounts of time Norman can spend using the computer

we know that

$x+y \leq 45$

$x\geq 25$

using a graph tool

see the attached figure

the answer in the attached figure N 2