Question

It is the end of the semester, and the clubs at school are recording their profits. The Science Club started out with $25 and has increased its balance by an average of $10 per week. The Math Club has saved $15 per week after starting out with $10 at the beginning of the semester.Find when the profits meet on a x and y graph

Answer 1

Step-by-step explanation:

We have a system of equations.

Let 'y' be the profits and 'x' be the number of weeks since the semester started.

The Science Club had $25 and then $10 more per week. The equation is y = 10x + 25

The Math Club had $10 and then $15 more per week. The equation is y = 15x + 10

The system is:

`\begin{cases}y=10x+25 \\ y=15x+10\end{cases}`

The solution is the point where the two graphs meet.

Both lines intersect at (3, 55). This means x = 3 and y = 55. Therefore they both had $55 of profit after 3 weeks

Answer:

3 weeks after the semester started