Core Connections: Course 3
CC
Core Connections: Course 3 View details
Chapter Closure

Exercise 96 Page 86

We want to find the unit rate, or the price of 1 pound of fish. We know that 4.25 pounds of fish cost $10.20. The ratio of the price of 4.25 pounds of fish, or $10.20, to the number of pounds bought, 4.25, is proportional to the ratio of the price of 1 pound of fish, or x, to the number of pounds bought, 1. 10.20/4.25 = x/1 We have written an equation for the price x of 1 pound of fish. Let's solve it!
10.20/4.25 = x/1
Solve for x
10.20/4.25 = x
2.40 = x
x = 2.40
The unit rate is 2.40 dollars per pound.

We want to find the price of six pounds of fish at the same rate. As we have found in Part A, the price of one pound of fish is $2.40. Since six pounds is 6 times as much as one pound, the price of six pounds of fish is 6 times the price of one pound of fish. Let's calculate this value! 6 * $2.40 = $14.40 At this rate, six pounds of fish would cost $14.40.

We will write an equation relating the cost c to the number of pounds bought p. We know from Part A that the unit rate is 2.40 dollars per 1 pound. Note that the unit rate is proportional to the ratio of the price of p pounds of fish, or c, to the number of pounds bought p. c/p = 2.40/1 Let's simplify our equation.
c/p = 2.4/1
Simplify
c/p = 2.4
c/p* p = 2.4p
c* p/p = 2.4p
c* p/p = 2.4p
c/1 = 2.4p
c = 2.4p
The simplest form of the equation is c = 2.4p.