The cost of a cab ride is $10 for the first mile or part of a mile. It costs $3 for each additional mile or part of a mile and all cab rides are less than six miles. The cost is modeled by the function C(m), where "m" is the number of miles. The driver's pay "P" is a function of the cost "C" and is modeled by P(C) = 0.60C. What is the domain of P(C)?

{10, 13, 16, 19, 22, 25}

Step-by-step explanation:

Cab ride cost for first mile = $10

Additional mile cost = $3

Therefore, the following cab cost for different miles are analysed:

Cab ride cost for first mile = $10

Cab ride cost for second mile = $10 + $3 = $13

Cab ride cost for third mile = $10 + $3 + $3 = $16

Cab ride cost for fourth mile = $10 + $3 + $3 + $3 = $19

Cab ride cost for fifth mile = $10 + $3 + $3 + $3 + $3 = $22

Cab ride cost for sixth mile = $10 + $3 + $3 + $3 + $3 + $3= $25

Therefore, th domain of P(C) will be equal to {10, 13, 16, 19, 22, 25}

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week

the answer is d

for problems like this theres an app, its photomath that explains the problem and gives the answer hope i