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(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

Respuesta :

Answer:

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, [tex]\frac{16-6}{1-0}=\frac{26-16}{2-1}=10[/tex]

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.

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