If the relationship between total cost and number of units made is linear, and if cost increases by $1.4 for each additional unit made, and if the total cost of 24 units is $55, find the equation of the relationship between total cost (y) and number of units made (x).

y = 1.4x + 21.4

Step-by-step explanation:

Given :

Total cost and number of units made have a linear relationship

Mathematically,

Total cost, y = b * number of units made, x + c

If cost increases by $1.4 for each additional unit, the slope, b = 1.4

If total cost of 24 units = $55

Total cost = 1.4 * number of units made + c

55 = 1.4*24 + c

55 = 33.6 + c

c = 55 - 33.6

c = 21.4

c = intercept

The linear relationship between total cost and number of units made is :

y = 1.4x + 21.4

i think it is everything has to equal 180 so, if i correct 4=c. 6=d. 8=a. 7=b. and the last question would be c. because they are parallel lines and they are congruent.

step-by-step explanation:

the reason everything has to equal to 180 is because that is how it works. i'm guessing that is its rule. 4 and 8 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 6 and 7 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 60+60 is 180. so, now you have your answer

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.