Acompany rents bicycles for a fee of $10 plus $4 per hour of use. write an algebraic expression for the total cost in dollars for renting a bicycle for h hours.

Hence, the algebraic expression for the total cost in dollars for renting a bicycle for h hours is:   y=10+4h

Step-by-step explanation:

Let 'h' denotes the time period in hours for which the bicycle was used.

It is given that:

A company rents bicycles for a fee of $10 plus $4 per hour of use.

This means that if the bicycle is used for t hours than the amount which gives the estimate is:  $ 4h

Let 'y' denotes the total amount of renting a bicycle.

Total cost in dollars for renting a bicycle for h hours is given by the algebraic expression as:

y=10+4h.

x = -5

step-by-step explanation:

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt