Math  /  Algebra

QuestionA taxi service charges passengers a $2\$ 2 flat fee plus $0.75\$ 0.75 per mile. Which equation shows the relationship between nn, the number of miles that a passenger travels, and tt, the total cost of the ride? (A) t=0.75+2nt=0.75+2 n (B) t=0.75nt=0.75 n (C) t=0.75n+2nt=0.75 n+2 n (D) t=0.75n+2t=0.75 n+2

Studdy Solution

STEP 1

1. The taxi service charges a flat fee of 2.<br/>2.Thetaxiservicecharges2.<br />2. The taxi service charges 0.75 per mile.
3. We need to find the equation that represents the relationship between the number of miles n n and the total cost t t .

STEP 2

1. Understand the components of the cost.
2. Define the relationship between the variables.
3. Formulate the equation.
4. Compare the formulated equation with the given options.

STEP 3

Understand the components of the cost. The total cost t t is made up of a flat fee and a variable cost based on miles traveled.

STEP 4

Define the relationship between the variables. The total cost t t is the sum of the flat fee and the cost per mile multiplied by the number of miles n n .

STEP 5

Formulate the equation. The total cost t t is given by:
t=2+0.75n t = 2 + 0.75n

STEP 6

Compare the formulated equation with the given options. The correct option is:
(D) t=0.75n+2 t = 0.75n + 2

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