Derrick's dog sitting and darlene's dog sitting are competing for new business. derrick's dog sitting charges $14 plus $5 per hour. darlene's dog sitting charges $18 plus $3 per hour.
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part 1 out of 2
complete and solve the equation that can be solved to find the number of hours for which the total cost will be the same for the two services. in your equation, use x to represent the number of hours of dog sitting.

the equation is .
the total cost will be the same for the two services at hours.

The Equation is .

The total cost will be the same for the two services at 2 hours.

Step-by-step explanation:

Given:

Fixed charge of Derrick = $14

Hourly charge of Derrick = $5

Fixed charge of Darlene = $18

Hourly charge of Darlene = $3

Let number of hours be 'x'.

Hence We can say that Total Charges of Derrick's Dog Sitting will equal to sum of Fixed charge of Derrick and Hourly charge of Derrick multiplied by Number of hours.

Framing in equation form we get;

Total Charges of Derrick's Dog Sitting =

Now We can say that Total Charges of Darlene's Dog Sitting will equal to sum of Fixed charge of Darlene and Hourly charge of Darlene multiplied by Number of hours.

Framing in equation form we get;

Total Charges of Darlene's Dog Sitting =

we need to find the number of hours used at which both the total cost would be same.

we can say;

Total Charges of Derrick's Dog Sitting = Total Charges of Darlene's Dog Sitting

Hence the Equation is

On Solving the equation we will find the numbers of hours for the same we get;

Combining like terms

Now dividing both sides by 2 using Division property we get;

Hence, The total cost will be the same for the two services at 2 hours.

it is c, trust i got your back lol

step-by-step explanation:

the speed is   miles per hour > is false

step-by-step explanation:

we know that  

a relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or

in a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

the graph shown in the figure represent a direct variation

the slope of the line represent the speed

for the point

substitute the values of x and y

the linear equation is equal to

statements

case a) it takes hours to go miles

the statement is true

because

substitute

for

find the value of y in the linear equation

> is correct

case b) the speed is   miles per hour

the statement is false

because the speed is

case c) the unit rate for the trip is

the statement is true

because the speed is equal to the slope of the linear equation

case d) it took minutes to go the first miles

the statement is true

because

substitute

for

find the value of y in the linear equation

> is correct