Suppose Cab Company A charges a flat fee of $4.50 plus an additional $0.25/mile. Cab Company B charges a flat fee of $1 plus an additional $0.75/mile. define the variables

Question

Define Variables _______________________________________________

Cab Company A Equation ____________________________

Cab Company B Equation ____________________________

Answer 1

The questions here appear to be:

1. Define variables used to model cost and miles traveled for each company.

2. Write the expression for the cost per mile for Company A.

3. Write the expression for the cost per mile for Company B.

1. We could use the conventional variables of "x" and "y" for miles and cost respectively, but we could have just as easily use "m" and "c", or "watermelon" and "smiley-face"; the only rule is to stick with them after they're defined.

2. To travel with Company A, the cost will be the flat fee (4.50) AND the cost times every mile (0.25 * x). This "AND" means we will add the two:

y = 4.50 + 0.25*x

3. To travel with Company B, the cost will be the flat fee (1.00) AND the cost times every mile (0.75 * x). This "AND" means we will add the two:

y = 1.00 + 0.75*x

We may also optionally define separate variables using subscript notation to further clarify and differentiate Company A's "y_A" from Company B's "y_B" (if such formatting isn't available, one can use "_" on a computer to denote a subscript like "y_A" and "y_B").