Mary is having her living room and bedroom painted. Interior Designs USA charges $60.00 to evaluate the space plus $35.00 per hour of labor. Splash of Color charges $55.00 per hour with no initial fee. Which of the following are true? Select all that apply.
If it takes 7 hours to paint the two rooms, Interior Designs USA will charge the least.
Splash of Color will always charge the least.
If it takes more than 5 hours to paint the rooms, Splash of Color will be more cost effective.
If it takes 10 hours to paint the rooms, Splash of Color will charge $200 more than Interior Designs USA.
If it takes 3 hours to paint the rooms, both companies will charge the same amount.
None of the statements are true.
Explanation:
- If it takes 7 hours to paint the two rooms, the cost with Interior Designs USA will be:
60 + (35 * 7) = $285
While the cost with Splash of Color will be:
55 * 7 = $385
Therefore, Interior Designs USA will not charge the least.
- Splash of Color will not always charge the least because it depends on the number of hours worked.
- If it takes more than 5 hours to paint the rooms, Interior Designs USA will be more cost-effective because Splash of Color charges by the hour.
- If it takes 10 hours to paint the rooms, the cost with Interior Designs USA will be:
60 + (35 * 10) = $410
While the cost with Splash of Color will be:
55 * 10 = $550
Therefore, Splash of Color will charge $140 more than Interior Designs USA.
- If it takes 3 hours to paint the rooms, the cost with Interior Designs USA will be:
60 + (35 * 3) = $165
While the cost with Splash of Color will be:
55 * 3 = $165
Therefore, both companies will charge the same amount.