Will bought a package of 24 juice bottles for $7.44. Which equation relates the cost, c, of a package of juice bottles to the number of bottles, b, in the package?
A. C= 0.31b
B. C= 3.10b
C. C= 3.23b
D. C= 7.44b
Also, please show how you solved!!!
7.44/24 = 0.31
To find the equation that relates the cost, c, of a package of juice bottles to the number of bottles, b, in the package, we can use the given information.
From the information given, we know that Will bought a package of 24 juice bottles for $7.44. This means that the cost of a single juice bottle can be found by dividing the total cost by the number of bottles.
Cost of a single juice bottle = Total cost / Number of bottles
Plugging in the given values, we have:
Cost of a single juice bottle = $7.44 / 24
To find the equation that relates the cost to the number of bottles, we can express the cost as a multiple of the number of bottles, b. In this case, the cost, c, is equal to the cost per bottle multiplied by the number of bottles, b.
Therefore, the equation that relates the cost, c, of a package of juice bottles to the number of bottles, b, in the package is:
C = (7.44 / 24) * b
Simplifying this equation we get:
C = 0.31b
So, the correct equation is A. C = 0.31b.
Explanation:
To solve this problem, we start by using the given information to find the cost of a single juice bottle. We divide the total cost of $7.44 by the number of bottles in the package, which is 24. This gives us the cost of a single bottle.
Next, we express the cost, c, as a multiple of the number of bottles, b. Multiplying the cost per bottle by the number of bottles gives us the equation C = (7.44 / 24) * b.
Simplifying the equation, we find that C = 0.31b. Therefore, the equation that relates the cost to the number of bottles is A. C = 0.31b.
To solve this problem, we need to determine the equation that relates the cost, c, of a package of juice bottles to the number of bottles, b, in the package.
Given that Will bought a package of 24 juice bottles for $7.44, we can set up a proportion to find the cost per bottle.
We can set up the proportion as follows:
Cost per bottle / Number of bottles = Total cost
Let's call the cost per bottle as "x."
So, we have:
x / 24 = 7.44 / 1
To solve for x, we can cross multiply:
x = 24 * (7.44 / 1)
x = 178.56 / 1
x = 178.56
Therefore, the cost per bottle is $178.56.
The equation that relates the cost, c, of a package of juice bottles to the number of bottles, b, in the package is:
C = xb
Substituting the value of x, we get:
C = 178.56b
Therefore, the correct equation that relates the cost of a package of juice bottles to the number of bottles is:
C = 178.56b
None of the given options (A, B, C, D) represent the correct equation.