Question

Sam buys milk from a different shop. He writes an equation for the amount he spends on milk, p = 3.4g, where p is the cost and g is the gallons of milk bought. Who buys milk at a lower rate, and what is the price?

Answer 1

the complete question is

Edwin graphs the relationship of the gallons of milk he buys in terms of dollars.

Sam buys milk from a different shop. He writes an equation for the amount he spends on milk, p = 3.4g, where p is the cost and g is the gallons of milk bought. Who buys milk at a lower rate, and what is the price?

A) Edwin buys milk at a lower rate, $3.40 per gallon.

B) Edwin buys milk at a lower rate, $3.50 per gallon.

C) Sam buys milk at a lower rate, $3.50 per gallon.

D) Sam buys milk at a lower rate, $3.40 per gallon.

see the attached figure

we know that

1) Sam buys milk at a $3.40 per gallon

step 1

find the equation of the line Edwin's graph

let

A( 0,0) B ( 2,7)

slope m=(7-0)/(2-0)------> m=7/2-----> m=3.5

with m=3.5 and the point A (0,0)

p-p1=m*(g-g1)-------> p-0=3.5*(g-0)-------> p=3.5*g

so

Edwin buys milk at a $3.50 per gallon

$3.40 < $3.50

therefore

the answer is the option

D) Sam buys milk at a lower rate, $3.40 per gallon.