Question

two communications companies offer calling plans. with company x, it costs 25¢ to connect and then 5¢ for each minute. with company y it costs 15¢ to connect and then 4¢ for each minute. write and simplify an expression that represents how much more company x charges, in cents, for n minutes.

which of these expressions represents how much more company x charges than company y?

a. (25 + 4n) - (15 + 5n)

b. (25n - 4) - (15n - 5)

c. (25 + 5n) - (15 + 4n)

d. 25n - 5 - 15n - 4

the expression \\(\square\\) represents how much more company x charges than company y.
(simplify your answer.)

Explanation:

Step1: Write Company X's cost

Cost for X: $25 + 5n$

Step2: Write Company Y's cost

Cost for Y: $15 + 4n$

Step3: Set up difference expression

Difference: $(25 + 5n) - (15 + 4n)$

Step4: Simplify the expression

$25 + 5n - 15 - 4n = (25-15) + (5n-4n) = 10 + n$

Answer:

Which of these expressions represents how much more Company X charges than Company Y?
C. $(25 + 5n) - (15 + 4n)$

The expression $10 + n$ represents how much more Company X charges than Company Y