Question

A florist owns two flower shops. The profit for the month of June at the first location can be represented by the function p(x)=202+21x , where x represents the number of business days that month. The profit for the month of June at the second location can be represented by the function q(x)=17x+173 , where x represents the number of business days that month. Which function, r(x), represents the total profit for the two locations during the month of June? R(x)=38x+375 r(x)=194x+219 r(x)=219x+194 r(x)=4x+29

Answer 1

Answer:

$r(x) = 38x + 375$

Step-by-step explanation:

Given:

Profit in the month of June from first location is $p(x)=202+21x$

Profit in the month of June from second location is $q(x)=17x+173$

Now, total profit from the two locations can be obtained by adding the profits from each of the two locations.

Now, adding both the profits, we get:

$r(x)=p(x)+q(x)$

Plug in the given values and simplify. This gives,

$r(x)=202+21x+17x+173$

Now, we need to combine the like terms using commutative property.

Therefore, rearranging the terms, we get:

$r(x)=21x+17x+202+173\\\\r(x)=38x+375$

Therefore, the correct option is the first option.