A bike shop rents each of its mountain bikes for a one-time $10.50 insurance charge plus $4.50 per hour. Which equation can be used to find y, the total dollar amount that a group of sightseers must pay to rent x bikes for 6 hours?

The equation can be y = 37.50x

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

One-time insurance charge = $ 10.50

Rent per hour = $ 4.50

2. Which equation can be used to find y, the total dollar amount that a group of sightseers must pay to rent x bikes for 6 hours?

y = Total dollar amount that a group of sightseers must pay to rent x bikes for 6 hours

x = Number of bikes

Let's write the equation, this way:

y = 10.50x + 6 * 4.50 * x

y = 10.50x + 27x

The equation can be y = 37.50x

the answer to the question is a  

it has the same slope and the same y-intercept.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.