1. bananas are $0.59/pound.
what is the constant of proportionality, or k?

how much will 25 pounds of bananas cost?

Step-by-step explanation:

k = $0.59 per pound constant proportionality means we want to know how much the cost here would increase for each pound we bought.

25 pounds times $.59 = $14.75

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²