Daily Task, April 27, 2020, 6EE9

Ronny went to play miniature golf. There was an hourly rate (H) to play, and a 5 dollar entrance fee. Ronnie knew that the longer they played, the higher the (T) total cost would be.

Miniature Golfing Cost
Hours (variable “H” for hours)
Total Cost (variable “T” for total cost)
0
$5 (just to get in)
1
$ 18
2
$ 31
3
$ 44
4
$ 57

10 (special rate, no entrance fee)
$130
Before choosing the equation that represents the relationship between hours “H” and “T” total cost, according to the pattern of this table, think about how much you are really paying per hour, as that seems to not change; its the constant, the amount of hours you pay, changes, but the amount per hour does not.. Remember you have an entrance fee charge, which is separate from your hourly rate. What changes is (T) total, and (H) hours, the price per hour does not. Which equation represents the relationship and why?

Equation:
T= 13H
T= 13H +5
T= 5H +13
T= 13 +5

If Ronny played miniature golf for 7 hours, what would his total bill be?

Explain your thoughts about Ronny’s total bill for 7 hours of playing miniature golf.

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'.

when functions are first introduced, you will probably have some simplistic "functions" and relations to deal with, usually being just sets of points. these won't be terribly useful or interesting functions and relations, but your text wants you to get the idea of what the domain and range of a function are. small sets of points are generally the simplest sorts of relations, so your book starts with those.

step-by-step explanation:

state the domain and range of the following relation. is the relation a function?

{(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)}

the above list of points, being a relationship between certain x's and certain y's, is a relation. the domain is all the x-values, and the range is all the y-values. to give the domain and the range, i just list the values without duplication:

domain: {2, 3, 4, 6}

range: {–3, –1, 3, 6}

(it is customary to list these values in numerical order, but it is not required. sets are called "unordered lists", so you can list the numbers in any order you feel like. just don't duplicate: technically, repetitions are okay in sets, but most instructors would count off for this.)

while the given set does indeed represent a relation (because x's and y's are being related to each other), the set they gave me contains two points with the same x-value: (2, –3) and (2, 3). since x = 2 gives me two possible destinations (that is, two possible y-values), then this relation is not a function.

note that all i had to do to check whether the relation was a function was to look for duplicate x-values. if you find any duplicate x-values, then the different y-values mean that you do not have a function. remember: for a relation to be a function, each x-value has to go to one, and only one, y-value.

state the domain and range of the following relation. is the relation a function?

{(–3, 5), (–2, 5), (–1, 5), (0, 5), (1, 5), (2, 5)}

i'll just list the x-values for the domain and the y-values for the range:

answer: 0.64

step-by-step explanation:

0.038

step-by-step explanation: