Joseph, unfortunately, couldnt save enough money because college was way too expensive. He decides to take out a loan but ends up graduating with thousands in debt. Now, he's financially unstable and struggling to get by.
The total number of hours taken by n students is modeled by .
<u>Step-by-step explanation:</u>
Here we have , Suppose the number of hours boys B and the number of hours girls G take to complete their homework is modeled by B=2n+5 and G=3n-1, where n is the number of students. We need to write a function that models the total number T of hours it takes boys and girls to complete their homework for n students .
- The number of hours boys take to complete their homework, B=2n + 5
- The number of hours girls take to complete their homework, G = 3n – 1
We are to derive the total number T of hours taken by n students.
Total number of Hours
T=Number of hours taken by boys+Number of hours taken by Girls
T=B+G
⇒
Next, we simplify by collecting like terms
⇒
⇒
⇒
The total number of hours taken by n students is modeled by .
Finding the intercepts is a very straight-forward process. First set y = 0 and solve the equation for x. That is your y-intercept! Then go back to the original equation and set x = 0 and solve for y. That is your x-intercept! For a linear equation like this there is only one x-intercept. For any "function" y(x) there can by definition be only one y-intercept.
Answer is 3
For a more deatiled explanation, please refer to https://photomath.net/s/WnXPjE for explanations at every step!
This question may look hard but is actually very simple! Look at my first step and you should be set to go!