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Answer:
The difference between Shelly and Terrence's total points
Step-by-step explanation:
Terrence's total points in the game: 90x - 20 (constant term in the expression: -20)
Shelly's total points in the game: 90x
Difference between Terrence's and Shelly's total points: (90x - 20) - 90x = -20
A general linear equation can be
y = ax+ b
where a is the slope and b, the constant term, is the y-intercept.
So with this, we already can see that the constant terms are the values that the function takes when the input is zero.
Terrence's total points in the game are:
T(x) = 90x - 20
We want to see what the constant term, -20, means.
Because each task gives 90 points we can see that at the moment that Terrence had 0 completed tasks (x = 0) he had:
T(0) = 90×0 - 20 = -20
This means that he started with -20 points, then the constant term represents the initial number of points that Terrence had.
We could say that the correct option is "The total points Terrence earned (before the game started)"
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