Question

model with mathematics julie wants to buy tulip bulbs to plant. each bulb costs $0.50 plus a one - time $4.50 shipping cost. she has $22 to spend. write and solve an equation to determine how many bulbs julie can buy and have shipped.

Explanation:

Step1: Define variable

Let \( x \) be the number of tulip bulbs.

Step2: Formulate equation

The cost of \( x \) bulbs is \( 0.50x \) dollars, and there is a one - time shipping cost of \( 4.50 \) dollars. The total cost should be equal to the money she has, which is \( 22 \) dollars. So the equation is \( 0.50x + 4.50=22 \).

Step3: Solve the equation

Subtract \( 4.50 \) from both sides of the equation:
\( 0.50x+4.50 - 4.50=22 - 4.50 \)
\( 0.50x = 17.50 \)
Then divide both sides by \( 0.50 \):
\( x=\frac{17.50}{0.50}=35 \)

Answer:

Julie can buy 35 tulip bulbs. The equation is \( 0.50x + 4.50 = 22 \) and the solution is \( x = 35 \).