Question

question
henry is buying bagels for a family gathering. each bagel costs $0.75.
answer the questions below regarding the relationship between the total cost
and the number of bagels purchased.

answer attempt 1 out of 3

the independent variable x represents the
, and the dependent variable is the

, because the

depends on the

.

a function relating these variables is t(x) =
.

so t(4) =
, meaning 4

submit answer

Explanation:

Step1: Identify Variables

The independent variable \( x \) represents the number of bagels (since we choose how many to buy), and the dependent variable is total cost (since it depends on the number of bagels). The function relating them: total cost \( T(x) \) is cost per bagel (\( \$0.75 \)) times number of bagels \( x \), so \( T(x) = 0.75x \).

Step2: Calculate \( T(4) \)

Substitute \( x = 4 \) into \( T(x) \): \( T(4) = 0.75 \times 4 = 3 \). This means 4 bagels cost $3.

Answer:

• The independent variable \( x \) represents the number of bagels, and the dependent variable is the total cost, because the total cost depends on the number of bagels.
• A function relating these variables is \( T(x) = 0.75x \).
• So \( T(4) = 3 \), meaning 4 bagels cost $3.