There were 203 tickets sold for a wrestling match. For activity card holders the price was
$1.25 and for non-card holders the price was
$2.00. The total amount of money collected was
$310. How many of each type of tickets were
sold?

the number of activity card holders is 128 and non-card holders is 75 respectively

Step-by-step explanation:

Let us assume the activity card holders be x

And, the non-card holders be y

Now as per the given situation

x + y = 203

x = 203 - y

1.25x + 2y = 310

Now put the value of x in the above equation

1.25(203 - y) + 2y = 310

253.75 - 1.25y + 2y = 310

0.75y = 56.25

y = 75

And,

x = 203 - 75

= 128

Hence, the number of activity card holders is 128 and non-card holders is 75 respectively

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50