Answer:
250 - 20 < 80 + 15x
Step-by-step explanation:
Given that
Beth has 250 books and 20 books sold each week
While on the other hand, Martin has 80 books and sell 15 books each week
Let us assume each week be x
Now the equations are
Beth 250 - 20x
Martin 80 + 15 x
Now the inequality would be
250 - 20 < 80 + 15x
Answer:
y > 0.6x - 1.5
Step-by-step Explanation:
We need two points, to get to the equation of the graph.
Since we've got the following equation for two points (x1, y1), (x2, y2):-
okay soo
I found two points that lie on this graph, not on the shaded region but yeah the dotted line which defines the graph.
one point is <u>(0, -1.5)</u> which lies on the y axis(the point where the dotted line touches the y axis)
other point is <u>(2.5, 0)</u> and this lies on the x axis
placing these points in the place of (x1, y1) and (x2, y2) in the above mentioned equation
you can take any one as (x1, y1) or (x2, y2).
so upon solving the above equation we get
multiplying both sides by 5
okay so this is the required equation of the dotted line
now we'll find the inequality
for this check whether the origin (0,0) lies under the shaded region or not
in this case it does
so
replacing x and y with 0
this is absurd, 7.5 is not equal to 0 so we're gonna replace that equals sign with that of inequality
7.5 is greater than 0! so,
this goes for the whole equation, since we didnt swap any thing from left to right side of the equation or vice versa we can use this sign, to obtain the required inequality
dividing this inequality by 5, since there's no co-efficient in front of y in the given answers
we get
y + 1.5 > 0.6x
taking 1.5 to the RHS
<h3>y > 0.6x - 1.5 </h3>that is the last option