Question

marissa buys a vase with flowers. she pays the same price for each flower. the table shows marissas total cost as a function of the number of flowers she buys.
number of flowers | total cost ($)
0 | 12
1 | 15
2 | 18
determine whether each statement is true.
select true or false for each statement.
the initial value is $12. true false
the initial value represents the number of flowers. true false
the rate of change is $6 per flower. true false
the total cost for a vase with 6 flowers would be $30. true false

Explanation:

Step1: Check initial value

Initial value = cost at 0 flowers = $\$12$

Step2: Analyze initial value meaning

Initial value is vase cost, not flower count.

Step3: Calculate rate of change

Rate = $\frac{15-12}{1-0} = \$3$ per flower

Step4: Compute cost for 6 flowers

Cost = $12 + 3\times6 = 12+18 = \$30$

Answer:

1. The initial value is $\$12$: True
2. The initial value represents the number of flowers: False
3. The rate of change is $\$6$ per flower: False
4. The total cost for a vase with 6 flowers would be $\$30$: True