Question

a restaurant sells tea for $1.50 per cup. A group of 6 people orders drinks. Write a function for the cost of tea depending on the number of cups ordered. Find a reasonable domain and range

Answer 1

x=1.50y

x represents the total of the drinks, and y represents the amount of drinks bought. all you have to do is plug in the amount of drinks and solve.

Answer 2

Cost of cup of tea=$ 1.50

Let number of people who ordered for drink= x people

Then total cost = $ y

Writing in terms of equation

y=1.50 x

Number of people who can order for drink can't be greater than 200.

Since , x is defined for all Natural values of y. So, Domain = Set of all Natural Number less than equal to 200.

for, x ≤ 200

→y ≤200 ×1.50

y ≤300

As, y can be a Rational number also. So, Range = Set of all Rational Number of the form y=1.50 x, where x=1,2,3,4,5,......200.