Answer:
p = 22.50 + 15t
Step-by-step explanation:
For Malik :
Membership fee = m
Rate per tournament = t
After 4 tournaments :
m + 4t = 85 - - - (1)
After 7 tournaments :
m + 7t = 130 - - - (2)
Subtract 2 from 1
4t - 7t = 85 - 130
-3t = - 45
t = 45 / 3
t = 15
Put, t = 15 in (1)
m + 4(15) = 85
m + 60 = 85
m = 85 - 60
m = 25
Massai pays 10% less membership fee than Malik
Hence, Massai's membership fee:
(100 - 10)% * 25
0.9 * 25 = $22.50
Total price, p, Massai will pay to compete in t tournaments ;
Total price = membership fee + (rate per tournament * number of tournaments)
p = 22.50 + 15t
Answer:
f⁻¹(7) = 1
Step-by-step explanation:
Step 1: Write out function
f(x) = 3x + 4
Step 2: Find f⁻¹(x) (or known as inverse f(x))
y = 3x + 4
x = 3y + 4
-3y + x = 4
-3y = 4 - x
y = -4/3 + x/3
Step 3: Plug in 7 into inverse f(x)
f⁻¹(7) = 7/3 - 4/3
f⁻¹(7) = 3/3
f⁻¹(7) = 1
It's called "solve the equation for 'y' ". That means move things
around so that you end up with 'y' all alone on one side, and
everything else on the other side.
You started with 9x - 7y = -7
Subtract 9x from each side: - 7y = -9x - 7
Divide each side by -7 : y = 9/7 x + 1
Cost per pound: 50 <span>¢.
Weight: 3 pounds
Total cost: 3x50 = 150 </span>¢