Answer: The function that modes this situation would be: y = 475(1 + .0125)^x.
This is an example of an exponential equation. These equations are always in the form y = ab^x.
The a value is the starting value. The b value is the interest rate. The x value is the number of years.
The only thing to be careful about is the rate. We are adding 1.25% or 0.125. Make sure that you are adding 1 whole to the 1.25% and don't just use 0.125.
Answer:
Median = 36
Step-by-step explanation:
To calculate the median number of miles Jenna cycled, we must first rearrange the numbers. The rearranged numbers are:
28, 31, 36, 36, 42, 48, 52
The middle number is 36
The median it therefore = 36
Answer:
There were 14 cartons of size 2 rackets and 24 cartons of size 3 rackets
Step-by-step explanation:
Assume that the number of cartons holding 2 rackets is x and the number of cartons holding 3 rackets is y
∵ There are x cartons of 2 rackets
∵ There are y cartons of 3 rackets
∵ They used 38 cartons
∴ x + y = 38 ⇒ (1)
∵ They packed a total of 100 rackets
∴ 2x + 3y = 100 ⇒ (2)
Let us solve the system of equations
→ Multiply equation (1) by -2 to make the coefficients of x in
the equations equal in values and different is signs
∵ -2(x) + -2(y) = -2(38)
∴ -2x - 2y = -76 ⇒ (3)
→ Add equations (2) and (3)
∴ y = 24
→ Substitute the value of y in equation (1) or (2) to find x
∵ x + 24 = 38
→ Subtract 24 from both sides
∴ x + 24 - 24 = 38 - 24
∴ x = 14
There were 14 cartons of size 2 rackets and 24 cartons of size 3 rackets
Putting this into an equation looks like this:
435 - 32<em>x</em> = 179
-32<em>x</em> = -256
<em>x</em> = 8
The answer <em>is</em> 8. Well done.
Independent quantity (x) is number of races won
dependent quantity f(x)...or y is total virtual money
the function is : f(x) = 500x + 5000 or y = 500x + 5000
