Question

24. Critical Thinking Anika wants to determine the maximum

number of tulip bulbs (t) she can purchase if each bulb costs $1.50.

She will also need to purchase separate pots for each bulb at $1.25

each and a bag of potting soil for $10.00. Set up an inequality to

determine how many tulip bulbs Anika can purchase without

spending more than $20.00, and solve it. Can Anika buy exactly

enough bulbs and pots to spend the full $20.00? Explain. Can you

think of a better inequality to describe the answer?

Answer 1

t ≤ 3 ; kindly check explanation for more explanation

Explanation:

Given that :

Number of tulip (t) =?

Cost of bulb = $1.50

Pot for each bulb purchased at =$1.25

Bag of potting soil = $10.00

Number of tulip bulb that can be purchased without spending more than $20

Cost of tulip bulb = [(cost per bulb + cost per pot) * number purchased (t) + cost of bag of potting soil]

Cost = [(1.50 + 1.25)t + 10]

If spending should not exceed $20

2.75t + 10 ≤ 20

2.75t ≤ 20 - 10

2.75t ≤ 10

t ≤ 10/2.75

t ≤ 3.64

He cannot purchase more than 3 tulip bulbs

Anika cannot buy exactly enough tulip bulbs an pot to spend the full $20 because the number obtained is a fraction and not a whole number.