Respuesta :
Answer:
A) The number of hours for service charge of both to be equal is 7 hours 12 minutes
B) Total cost of services is $45.2
Step-by-step explanation:
Given as :
The fixed charge taken by Happy Paws = $20
The moving charge taken by Happy Paws = $3.50 per hours
The fixed charge taken by Woof Watchers = $11
The moving charge taken by Woof Watchers = $4.75 per hours
Let The number of hours for service charge of both to be equal = n hours
Let The total cost of services = $A
According to question
For service charge of both to be equal
The fixed charge taken by Happy Paws + moving charge taken by Happy Paws × number of hours for service charge = The fixed charge taken by Woof Watchers + moving charge taken by Woof Watchers × number of hours for service charge
i.e $20 + $3.50 × n = $11 + $4.75 × n
Or, $20 - $11 = $4.75 × n - $3.50 × n
Or, $9 = $1.25 × n
∴ n = [tex]\dfrac{9}{1.25}[/tex]
i.e n = 7.2 hours
So, The number of hours for service charge of both to be equal = n = 7 hours 12 minutes
Hence , The number of hours for service charge of both to be equal is 7 hours 12 minutes . Answer
Again
Total cost of services = $11 + $4.75 × n
i.e A = $11 + $4.75 × 7.2
Or, A = $11 + $34.2
Or. A = $45.2
So, Total cost of services = A= $45.2
Hence, Total cost of services is $45.2 Answer
Answer:
The system of equation is [tex]\left \{ {{20+3.5h} \atop {11+4.75h}} \right.[/tex].
The total cost of the services will be equal at 7.2 hrs.
Step-by-step explanation:
Let the number of hours be represented by 'h'.
Given:
Happy Paws charges :
Fixed charge = $20.00
Per hour charge = $3.50.
Now we know that;
Total charges is equal to Fixed charge plus Per hour charge multiplied by number of hours.
framing in equation form we get;
Total charges = [tex]20+3.5h \ \ \ \ equation \ 1[/tex]
Also Given:
Woof Watchers charge
Fixed charge = $11.00
Per hour charge = $4.75.
Now we know that;
Total charges is equal to Fixed charge plus Per hour charge multiplied by number of hours.
framing in equation form we get;
Total charges = [tex]11+4.75h \ \ \ \ equation \ 2[/tex]
Hence the system of equation is [tex]\left \{ {{20+3.5h} \atop {11+4.75h}} \right.[/tex].
We need to find the number of hours when both charges are equal.
[tex]20+3.5h=11+4.75h[/tex]
Combining the like terms we get;
[tex]4.75h-3.5h=20-11\\\\1.25h = 9[/tex]
Dividing both side by 1.5 we get;
[tex]\frac{1.25h}{1.25}=\frac{9}{1.25}\\\\h = 7.2[/tex]
Hence The total cost of the services will be equal at 7.2 hrs.
Total charges of Happy Paws = [tex]20+3.5h =20 +3.5\times7.2 = \$45.2[/tex]
Total charges of Woof Watchers = [tex]11+4.75h = 11+4.75\times7.2 = \$45.2[/tex]
