Question

The equation 3.5x + 1.5y = 21 represents the cost for a family to
attend a play where x is the number of adults and y is the number of
children. Find the intercepts and interpret the meaning of each one.
PLEASE HELP ASAP

Answer 1

Answer:

Hey there!

The x-intercept is (6,0) meaning that if no children attend, 6 adults will attend.

The y-intercept is (0,14) meaning that if no adults attend, 14 children will attend.

Let me know if this helps :)

Answer 2

The x-intercept is (6,0) and y-intercept is (0,14).

What is x-intercept?

x-intercept for "any curve is the value of x-coordinate at the point where the graph cuts the x-axis".

What is y-intercept?

y-intercept  for "any any curve is the value of y-coordinate at the point where the graph cuts the y-axis".

According to the question,

3.5x + 1.5y =21

Let 'x' is the number of adults and 'y' is the number of children.

To find  x-intercept put y=0.

3.5x + 1.5(0) = 21

             3.5x = 21

                  x = 21/3.5 =6.

To find y-intercept put x=0

3.5(0) + 1.5(y) = 21  

                  y = 21/1.5 = 14.

x-intercept (6,0) if no children attend the play then 6 adult attend the play. y - intercept (0,14) if no adult attend the play then 14 children attend the play.

Hence, The x-intercept is (6,0) and y-intercept is (0,14).

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