The function y=0.99x represents the price y for x in game power boost which of the following is a reasonable domain for this function

Domain = [0,∞)

Step-by-step explanation:

The given function is

where, y is the price of x in game power boost.

Domain is the set of input values or x-values.

It means the reasonable domain of the given function is the possible number of games. So, domain of the given function can't be negative.

Set builder form of domain is

Interval notation of domain is

Therefore, the reasonable domain for the given function is [0,∞).

Total number of boys at the concert=100

Step-by-step explanation:

The total number of boys and girls at the concert can be expressed as follows;

Total number of boys (b)=(ratio of boys/total ratio)×total number of boys and girls (t)

where;

Total number of boys=b

ratio of boys=2

total ratio=(2+7)=9

total number of boys and girls=t

replacing;

b=(2/9)×t...equation 1

The total number of girls (g)=Total number of boys (b)+250

g=b+250...equation 2

The value of b in equation 2 is replaced by the value of b in equation 1;

g=(2/9)t+250

And the total number can be expressed as;

Total number (t)=Total number of boys (b)+total number of girls (g)

t=b+g

where;

b=(2/9)t

g=(2/9)t+250

replacing;

t=(2/9)t+(2/9)t+250

t=(4/9)t+250

t-(4/9)t=250

(5/9)t=250

t=250×9/5

t=450

The total number of boys (b)=(2/9)t

replace t with 450

b=(2/9)×450

b=100

Total number of boys at the concert=100