19. ties at a department store cost $14 each. which equation shows the proportional relationship of the…

19. ties at a department store cost $14 each. which equation shows the proportional relationship of the total cost, c, in dollars for a number of ties, t?\na t = c×14\nb c = t×14\nc t = 14÷c\nd c = t÷14\n20. a cylinder with a height of 6 inches (in.) and a radius of 2 inches (in.) is shown. what is the volume, in cubic inches, of the cylinder? (use 3.14 for π.) write your response in the shaded box below.

19. ties at a department store cost $14 each. which equation shows the proportional relationship of the total cost, c, in dollars for a number of ties, t?\na t = c×14\nb c = t×14\nc t = 14÷c\nd c = t÷14\n20. a cylinder with a height of 6 inches (in.) and a radius of 2 inches (in.) is shown. what is the volume, in cubic inches, of the cylinder? (use 3.14 for π.) write your response in the shaded box below.

Answer

Explanation:

Step1: Determine cost - quantity relationship

The total cost $c$ is the cost per tie ($14$) times the number of ties $t$. So $c = t\times14$.

Step2: Recall cylinder volume formula

The volume formula for a cylinder is $V=\pi r^{2}h$. Given $r = 2$ inches, $h=6$ inches and $\pi = 3.14$.

Step3: Calculate cylinder volume

Substitute values into the formula: $V=3.14\times2^{2}\times6$. First, $2^{2}=4$, then $3.14\times4 = 12.56$, and $12.56\times6=75.36$.

Answer:

  1. B. $c = t\times14$
  2. $75.36$