A3-pound bag of apples costs $5.25. what is the unit price of a pound of apples?
a) $1.25 b) $1.75 c) $2.25 d) $2.75 per pound
at this rate, how many pounds of apples can be purchased for $17.50?
a) 8 b) 9 c) 10 d) 11 pounds of apples
let x represent the number of pounds of apples and y the total cost of the apples. what is the equation that represents the direct variation between the total cost of the apples and the number of pounds of apples?
a) y = 1.25x
b) y = 1.75x
c) y = 2.25x
d) y = 2.75x

Part a) A 3-pound bag of apples costs $5.25. What is the unit price of a pound of apples?

we know that

To find the unit price divide the total cost by the total pounds

so

therefore

the answer Part a) is the option b

Part b) At this rate, how many pounds of apples can be purchased for $17.50?

by proportion

therefore

the answer Part b) is the option c

Part c) Let x represent the number of pounds of apples and y the total cost of the apples. What is the equation that represents the direct variation between the total cost of the apples and the number of pounds of apples?

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form or

In this problem the constant of proportionality k is equal to the unit price of a pound of apples

so

The linear equation is equal to

therefore

the answer Part c) is the option b

answer

false

explanation

these practices describe the manner the land use outcome is attained. land management methods implemented by corporations are a mandatory because they are a driver for better land use results economically, socially and environmentally. corporations are required to understand the connection between land use , and land management practices to support sustainable land use policies

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."