Two stores opened on the same day. The profit for Store #1 is modeled by the equation f(x) =
3
2
x - 3. The profit for Store #2 is modeled by the equation g(x) = -
1
4
x + 4. On what day (x) was the profit from both stores the same?
A) 3
B) 4
C) 5
D) 6

Option B: On the day 4 the profit from both stores will be the same.

Explanation:

Given that two stores were opened on the same day.

The profit from store 1 is given by

The profit from store 2 is given by

We need to determine the day on which the profit from both the stores will be same.

Let us equate the two equations.

Thus, we have,

Adding both sides of the equation by 3, we get,

Adding both sides of the equation by , we get,

Multiplying both sides of the equation by , we get,

Thus, the value of x is 4.

Hence, On the day 4 the profit from both stores will be the same.

Therefore, Option B is the correct answer.

use this formula:

p(a\b) = p(a and b)/p(b).

take it from here.

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950