Answer:
1b. 722.22 minutes.
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
[tex]\begin{gathered} 500=\frac{9}{13}x \\ 13\cdot500=13\cdot\frac{9}{13}x \\ 6500=9x \\ \frac{6500}{9}=\frac{9x}{9} \\ 722.22=x \end{gathered}[/tex]
Therefore, the answer is 722.22 minutes.
