Question

Hey how are you , 1b is ONE QUESTION !

Answer 1

1b. 722.22 minutes.

Step-by-step explanation:

the number of bricks laid varies directly with the amount of time spent. So, the variables are:

y: number of bricks laid

x: the amount of time spent

And the equation that related these variables is

y = kx

Where k is the constant of variation.

To find the value of k, we will use the given information that 45 bricks are laid in 65 minutes, so

45 = k(65)

Solving for k, we get:

45/65 = k(65)/65

9/13 = k

Therefore, the equation is

y = (9/13)x

Therefore, to know how many minutes would it take to lay 500 bricks, we need to replace y = 500 and solve for x

`\begin{gathered} 500=(9)/(13)x \\ 13\cdot500=13\cdot(9)/(13)x \\ 6500=9x \\ (6500)/(9)=(9x)/(9) \\ 722.22=x \end{gathered}`

Therefore, the answer is 722.22 minutes.