The Dotson deck had a side length of 11 feet. The Engels family deck had a total area of 118 square feet. Which deck is larger? Explain your reasoning.

Dotson's deck is Larger.

Step-by-step explanation:

Given, Dotson deck had a side length of 11 feet and Engels family deck had a total area of 118 square feet.

So, side length of Dotson's deck (d) = 11 feet

and, area of Engels family deck = 118 square feet.

The question of whose deck is larger can be solved by computing the are of Dotson's deck and comparing both the decks.

Area of Dotson's deck = side × side = 11 × 11 = 121 square feet.

By comparison, we can see that 121 square feet is greater than 118 square feet.

Hence, Dotson's deck is larger.

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.