Answer:
The student gets 12 credits per semester, and started college with 10 credits that he earned in high school.
Step-by-step explanation:
Given that a college student takes the same number of credits each semester, and that before beginning college, the student had some credits earned while in high school, while after 2 semesters, the student had 34 credits, and after 4 semesters, the student had 58
credits, to determine how many credits she obtains each semester and how many credits she had at the beginning of college, the following calculation must be performed:
(58 - 34) / 2 = X
24/2 = X
12 = X
34 - 12 x 2 = X
34 - 24 = X
10 = X
Thus, the student gets 12 credits per semester, and started college with 10 credits that he earned in high school.
Answer:
C(t) = 12t + 10
Step-by-step explanation:
We're given two data points, (2,34) and (4,58). We want to find an equation of the form C(t)=mt+b where m is the rate of change and b is the y-intercept.
First, we find the rate of change.
m=(58−34)/(4−2)
m=24/2
m=12
This rate of change means that the student earns 12 credits each semester.
Finally, we need to solve the equation C(t)=12t+b for b, or the y-intercept. We do this by plugging in one of our data points. We'll use (2,34).
C(t)=12t+b
34=12(2)+b
b=34−24
b=10
This y-intercept means that the student earned 10 credits in high school.
Now that we've found m and b based on the given data, we find that the equation is C(t)=12t+10.
