(05.05 lc)

a company rents riding equipment for a fixed amount plus a fee based on the number of days for which the equipment is rented. the table shows the total charges, y, in dollars, of renting riding equipment for x number of days:

riding equipment rentals

number of days
(x) total charges in dollars
(y)
0 6
1 16
2 26
what is the fixed amount charged?

select one:
a. $6
b. $10
c. $16
d. $26

A. $6

Step-by-step explanation:

We are given the table representing the number of days and the total charges in dollars.

So, the rate of change of the amount is given by,

The linear equation representing the situation is,

Total charges = Fee per days + Fixed amount.

i.e. Total charges, y = Rate multiplied by x + Fixed amount (c)

So, substituting the rate and the point (0,6), we get,

6 = 10 × 0 + c

i.e. c = 10

Thus, the equation is,

Total charges, y = Rate multiplied by x + Fixed amount (c)

i.e. y = 10x + 6

Hence, the fixed amount charged is $6.

So, option A is correct.

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3