Question

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question 20 - 1 point
a college student takes the same number of credits each semester. she had 3 credits when she started, and after 8 semesters, she had 51 credits.
which of these expresses the rate at which she is earning credits?

Explanation:

Step1: Identify total credits earned

The student started with 3 credits and after 8 semesters had 51 credits. So total credits earned: \( 51 - 3 = 48 \) credits.

Step2: Calculate rate per semester

Rate is credits per semester. Total credits earned (48) over 8 semesters. So rate: \( \frac{48}{8} = 6 \) credits per semester. This is a linear rate (since same number each semester), modeled by \( y = 3 + 6x \) (x = semesters), so rate is 6 credits per semester.

Answer:

The rate is 6 credits per semester (expressed as the slope of the linear relationship, e.g., in the equation \( y = 6x + 3 \), the rate is 6 credits per semester). If options were given (like slope, difference, etc.), the correct expression would involve the change in credits (48) over change in semesters (8), simplifying to 6.