Question

john is having a new deck built. he paid $485 for the required materials, and he will pay his brother $25 an hour to build the deck. which table shows the relationship between h, the number of hours johns brother works, and c, the total cost of the project?

Explanation:

Step1: Determine cost formula

The cost of materials is $485 and the labor - cost is $25 per hour. So the total cost $c$ as a function of the number of hours $h$ is $c = 485+25h$.

Step2: Calculate cost for $h = 0$

When $h = 0$, $c=485 + 25\times0=485$.

Step3: Calculate cost for $h = 3$

When $h = 3$, $c=485+25\times3=485 + 75=560$.

Step4: Calculate cost for $h = 8$

When $h = 8$, $c=485+25\times8=485 + 200=685$.

Step5: Calculate cost for $h = 12$

When $h = 12$, $c=485+25\times12=485+300 = 785$.

We check each table:

• In the first table: When $h = 0$, $c = 510

eq485$, so it's wrong.

• In the second table: When $h = 0$, $c = 485$; when $h = 3$, $c=485 + 25\times3=510$; when $h = 8$, $c=485+25\times8=685

eq535$, so it's wrong.

• In the third table: When $h = 0$, $c = 510

eq485$, so it's wrong.

• In the fourth table: When $h = 0$, $c = 485$; when $h = 3$, $c=485+25\times3=510$; when $h = 8$, $c=485 + 25\times8=685$; when $h = 12$, $c=485+25\times12=785$.

Answer:

The fourth table (the one with $h = 0, c = 485$; $h = 3, c = 510$; $h = 8, c = 685$; $h = 12, c = 785$)