Answer:the answer is y= 10x + 35
Step-by-step explanation:
It will be: D
-3 x -5/2 = 15/2, which is 7 1/2
Answer:
$1.5
Step-by-step explanation:
This would be solved using a simultaneous equation
let tacos = t
drink = d
3t + d = 7 -- eqn 1
2t + 2d = 8 -- eqn 2
Multiply equation 1 by 2 to derive equation 3
6t + 2d = 14 eqn 3
Substract equation 2 from equation 3
6t + 2d = 14 -- eqn 3
-
2t + 2d = 8 -- eqn 2
= 4t = 6
solve for t
6/4 = 1.5
= $1.5
This is a maximization problem so we apply derivatives here to determine the unknown variables in the problem.
In this problem, we represent x as the number of hats made, and y as the number of Afghans made by Mrs White.
Equation 1 relating to the time it takes to make these is expressed:
7x + 4y = 68
Another equation that represents inequality to the number of hats and Afghans respectively is expressed:
x<= 14
y<=11
the third equation expresses the income from selling these items expressed as
P = 21 x + 9y
we subtitute 1 to 3
P = 9(68-7x)/4 + 21x = 153-15.75x + 21 x = 153 -5.25x
So by trial and errror, x and y should be integers, we get two cases of which x and y should be
1) x = 4 ; y = 10
2) x = 8 ; y = 3
Subsituting to 3, P1 = 174$ while P2is equal to $195, Answer then is 8 hats and 3 Afghans in total.
