Jacob has 69 flowers for a big party decoration. In addition, he is planning to buy some flower arrangements that have 16 flowers
each. All of the arrangements cost the same. Jacob is not sure yet
about the number of flower arrangements he wants to buy, but
he has enough money to buy up to 5 of them. Write a function to
describe how many flowers Jacob can buy. Let x represents the
number of flower arrangements Jacob buys. Find a reasonable
domain and range for the function.

The function is 16x + 69

Domain of the function is [0, 5]

Range of the function is [69, 149]

Step-by-step explanation:

Given - Jacob has 69 flowers for a big party decoration. In addition, he is

planning to buy some flower arrangements that have 16 flowers

each. All of the arrangements cost the same. Jacob is not sure yet

about the number of flower arrangements he wants to buy, but

he has enough money to buy up to 5 of them.

To find - Write a function to  describe how many flowers Jacob can buy.

               Find a reasonable  domain and range for the function.

Proof -

Let us assume that,

The  number of flower arrangements Jacob buys = x

Given that,

Each Flower arrangement have 16 flowers.

So,

x Flower arrangements have 16x flowers.

Also given that, Jacob has 69 flowers for a big party decoration.

So,

Total flowers Jacob can buy, y = 16x + 69

So,

The function is 16x + 69

Now,

Given that, Jacob can buy up to 5 flower arrangements

i.e. x ≤  5

So,

Domain of the function is [0, 5]

Now,

When x = 0

y = 16(0) + 69 = 69

When x = 5

y = 16(5) + 69 = 149

So,

Range of the function is [69, 149]

definitely a. the others have almost all data points on one side of the line.

step-by-step explanation: