Question

Select all the true statements. 2.5 pounds of peanuts costs $1. 1 pound of peanuts costs $2.50. 5 pounds of peanuts cost $12.50 9 pounds of peanuts cost $19.50. The point (4.10) is on the graph of the proportional relationship,

Answer 1

step 1

Find the equation of the proportional line

C=kW

where k is the constant of proportionality

we have the point (7,17.5)

k=C/W

k=17.5/7

k=2.5

so

the equation is

C=2.5W

Verify the statements

A) 2.5 pounds of peanuts costs $1

For W=2.5

Find the value of C

C=2.5(2.5)=$6.25

the statement is false

B) 1 pound of peanuts costs $2.50

For W=1

C=2.5(1)=$2.5

the statement is true

C) 5 pounds of peanuts cost $12.50

For W=5

C=2.5(5)=$12.5

the statement is true

D) 9 pounds of peanuts cost $19.50

For W=9

C=2.5(9)=$22.5

the statement is false