What is the equation of the line shown in this graph

Mathematics

1 answer:

zepelin [54]3 years ago

5 0

The equation of the line is y = -2x + 4

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A carpenter has at most $250 to spend on lumber the inequality 8x+12y<250 represents the numbers x of 2 by 8 boards and the n

malfutka [58]

Answer:

The carpenter will not be able to buy 12 '2 by 8 boards' and 14 '4 by 4 boards'.

Step-by-step explanation:

Given:

Amount a carpenter can spend at most = $250

The inequality to represent the amount he can spend on each type of board is given as:

$8x+12y$

where $x$ represents '2 by 8 boards' and $y$ represents '4 by 4 boards'.

To determine whether the carpenter can buy 12 '2 by 8 boards' and 14 '4 by 4 boards'.

Solution :

In order to check whether the carpenter can buy 12 '2 by 8 boards' and 14 '4 by 4 boards' , we need to plugin the $x=12$ and $y=14$ in the given inequality and see if it satisfies the condition or not or in other words (12,14) must be a solution for the inequality.