C = 24,000 + 7x
a)
using y = mx + b where m = slope
so re-write the equation
C = 7x + 24,000
so slope = 7
it represents the cost will be increased $7 if the number of balls increase 1 unit
b)
y intercept when x = 0 so C = 24,000 + 7(0) = 24,000
It means the cost is
$2400 when there's no balls produce.
c)
If spend less than $30,000 then C < 30,000
equation would be
7x + 24,000 < 30,000, solve for x
7x < 6,000
x < 857.14
answer
the maximum number of balls that can be produced is 857
