The members of the boosters organization at your high school bought new balls for the school. they spent $22.00 per basketball and $30.00 per football, spending a total of $648.00. they bought 6 more footballs than basketballs. how many of each type of ball did they buy?

9 basket balls, 15 foot balls

Step-by-step explanation:

Let x be the number of basket ball

y be the number of foot ball

1 basket ball = $22

so x basket ball = 22x

1 foot ball = $30

so y foot ball = 30y

Total cost = 648

The equation becomes 22x+ 30y = 648

Given : They bought 6 more footballs than basketballs.

foot  ball (y) = 6 more basket balls(x)

so y = x + 6

we solve for  x  and y

Now we plug in x+6 for y in the equation 22x+ 30y = 648

22x+ 30(x+6) = 648

22x + 30x + 180 = 648

Subtract 180 on both sides

52x = 468

Divide both sides by 52

so x= 9

Number of basket ball x= 9

Number of foot ball y=x+6= 9+ 6 = 15

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step-by-step explanation:

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is