For a fund raising campaign, a club has a choice of buying products for $20 plus 50% of the sales or $100 plus 25% of the sales. For what level of sales would the club have to pay the same total with either deal

a: $3.20

b: $117

c: $320

d: $480

C $320

Step-by-step explanation:

write equations for the two possible choices

situation 1:

y₁ = 20 + 0.5x, where y is the total price the club pays and x is the sales

** note i use 0.5 instead of 50, since 50 would represent 5000%

y₂ = 100 + 0.25x, where y is the total price the club pays and x is the sales

now set the two equations equal to each other

20 + 0.5x = 100 + 0.25x

isolate x by subtracting 0.25x and 20 from each side

20 + 0.5x - 0.25x - 20 = 100 + 0.25x -0.25x -20

0.25x = 80

divide both sides by 0.25

=

x = 320

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05