Question

A retail clothing store offers customers an opportunity to open up a credit card during checkout. One location of the retail clothing store states that the number of credit cards, A, that are opened t months since January can be modeled by the function A(t) = 20 + 4t. The number of credit cards opened at another location, B, is defined by the function B(t) = 25 − t. What is an expression that can be used to determine the total amount of credit cards opened at the two locations?

Answer 1

A function assigns the value of each element of one set to the other specific element of another set. The total amount of credit cards opened at the two locations is given as 45+3t.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Given that the number of credit cards, A, that is opened t months since January can be modeled by the function A(t) = 20 + 4t, while the number of credit cards opened at another location, B, is defined by the function B(t)=25−t.

Now, the total number of credit cards that are opened at both the location together will be,

Total number of credit cards = A(t) + B(t)

                                                = 20 + 4t + 25 - t

                                                = 20 + 25 + 4t - t

                                                = 45 + 3t

Hence, the total amount of credit cards opened at the two locations is given as 45+3t.

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