#11: During a basketball game the Dragons made 12 three pointers and 11 foul shots (1 point each) and the rest of their
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#11: During a basketball game the Dragons made 12 three
pointers and 11 foul shots (1 point each) and the rest of their
points came from two point baskets.
Determine the equation, slope and y-intercept for a function
that outputs the total points the Dragons scored (p) based on
the number of 2-point baskets made (b).
Slope:
Y-Intercept:
Equation (in slope-intercept form):

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  1. Answer:
    Slope: 2
    Y-Intercept: 47
    Equation (in slope-intercept form): p = 2b + 47.
    Step-by-step explanation:
    To determine the equation, slope, and y-intercept for a function that outputs the total points the Dragons scored based on the number of 2-point baskets made, you will need to use the information given about the number of 3-pointers, foul shots, and 2-point baskets made.
    First, let’s define p as the total number of points the Dragons scored and b as the number of 2-point baskets made.
    We know that the Dragons scored a total of 12 three-pointers * 3 points per 3-pointer + 11 foul shots * 1 point per foul shot = 47 points from 3-pointers and foul shots.
    Therefore, the total number of points the Dragons scored can be expressed as:
    p = 47 points + 2 points per 2-point basket * b 2-point baskets
    This equation is in slope-intercept form, with the slope being 2 points per 2-point basket and the y-intercept being 39 points.
    The equation in slope-intercept form is:
    p = 2b + 47
    Therefore, the slope of the function is 2, the y-intercept is 39, and the equation is p = 2b + 47.

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