10. Tama wondered if there is an association between age and favorite flavor of ice cream (choices
chocolate, strawberry, and vanilla). She surveyed 200 children in different age ranges. The table below
shows the results of her survey.
Tamra gives you the following information
of the children surveyed chose chocolate as their favorite flavor
• 25% of the children surveyed were in the age range of 8 - 12 years old
• of the children surveyed were in the age range of 13 - 17 years old
50% of the children in the age range of 3 - 7 years old chose chocolate as their favorite flavor
50 children chose strawberry as their favorite flavor
. Complete the two-way frequency table to display the data.
Chocolate
Vanilla
Strawberry
Total
Ages 3-7
Ages 8-12
25
Ages 13 - 17
12
12
50
Total
200

x = 12

y = 15

step-by-step explanation:

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:

about 168 miles

step-by-step explanation: