You look at the track of how many 2-point baskets and 3-point baskets a team makes in a
basketball game. The team misses all the 1-point baskets and still scores 54 points. The equation
2x + 3y = 54 models the total points scored, where x is the number of 2-point baskets made and y
is the number of 3-point baskets made.
a) Find the intercepts
b) Graph the equation
c) Explain what the interepts mean

Pls help

Question

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Respuesta :

krystalbranch9 krystalbranch9 · Answer 1 · 2019-11-14T03:20:06+01:00

Answer:

Step-by-step explanation:

A

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MrRoyal MrRoyal · Answer 2 · 2021-10-29T15:00:53+02:00

The intercepts of a graph, are the points where the graph crosses the x and y axes.

The x and y intercepts are 27 and 18.

The function is given as:

[tex]\mathbf{2x + 3y = 54}[/tex]

(a) The intercepts

Set x to 0, to calculate the y-intercept

[tex]\mathbf{2(0) + 3y = 54}[/tex]

[tex]\mathbf{3y = 54}[/tex]

Divide by 3

[tex]\mathbf{y = 18}[/tex]

Set y to 0, to calculate the x-intercept

[tex]\mathbf{2x + 3(0) = 54}[/tex]

[tex]\mathbf{2x = 54}[/tex]

Divide by 2

[tex]\mathbf{x = 27}[/tex]

Hence, the x and y intercepts are 27 and 18.

(b) Graph the equation

See attachment

(c) Explain the intercepts

In (a), we have: the x and y intercepts to be 27 and 28.

This means that: