You are rolling two dice at the same time. what is the probability of a rolling a sum of 5 or 9?

The Elegant Home Architects charges are less than Rock the House Digital Designs charges for hours worked more than 2.

If the number of hours worked is equal to 2 than both would charge the same and if the hours are less than 2 then  Rock the House Digital Designs  will be a better option .

Step-by-step explanation:

Let ℎ represent the number of hours for which the Johnson family hires the design firm.

Suppose the  Johnson family hires the design firm for ten hours so h= 10

Then the charges by the Rock the House Digital Designs will be

$ 500 + 50(10)= $ 500+ $500= $1000

And the charges for the services by Elegant Home Architects will be

$75.00(10) = $ 750

Therefore the Elegant Home Architects charges are less than Rock the House Digital Designs charges.

But if the number of hours worked is equal to 2 than both would charge the same and if the hours are less than 2 then  Rock the House Digital Designs  will be a better option .

Rock the House Digital Designs

For 2 hours

$ 500 + 50(2)= $300

For 1 Hour

$500 + 50 (1)= $ 550

Elegant Home Architects

For 2 hours

$75.00(2) = $ 300

For 1 Hour

$75.00(1) = $ 75