Answer:
444
Step-by-step explanation:
Answer:
The equation for the amount of dollars pledged in total is f(M) = 2.00M + 7.25, and the amount for just Kiara is f(M) = 0.25M + 5.25
Step-by-step explanation:
The amount they pledge up front is a constant and therefore need to be added to the end of the equation. The amount per mile should be a variable amount. This gets multiplied by the M variable. So we start with the Kiara amount.
0.25 per mile = 0.25M
5.25 pledged = 5.25
Now put them together to get f(M) = 0.25M + 5.25
Do the same with Mark.
1.75 per mile = 1.75M
2.00 pledged = 2.00
Now put them together to get f(M) = 1.75M + 2.00
To get the final total, we add both equations together.
f(M) = 0.25M + 5.25 + 1.75M + 2.00
f(M) = 2.00M + 7.25
145-10x=10x-35
Add 35 to both sides.
175-10x=10x
Add 10x to both sides.
175=20x
Divide both sides by 20
8.75=x
Using geometric sequence concepts, it is found that:
a) The rule is:
.
b) An exponential relationship exists between the two variables.
<h3>What is a geometric sequence?</h3>
A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:

In which
is the first term.
A geometric sequence represents an exponential relationship between the variables.
In this problem, considering that the first-place finisher wins half of $1.500.000 in total prize money, and each finisher earns half of the one who finished above, the first term and the common ratio are given by:
.
Hence the nth term of the sequence is given by:

More can be learned about geometric sequence concepts at brainly.com/question/11847927
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first, distribute -6 to (2b + 1), giving you -12b - 6, and then on the another side of the equation, distribute -2 to (5 + 4b) giving you, -10 - 8b. now we need to put our coefficients on one side so we will add 8b to each side of the equation, giving us -6 = -10 - 8b + 12b, then we will add 10 to both sides of the equation giving us, 10 -6 = -8b +12b, this gives u 4 = 4b. then, you would solve for b, which equals 1.