Question

Three pounds of dried cherries cost $15.90, 5 pounds of dried cherries cost $26.50, and 9 pounds of dried cherries cost $47.70. Which equation gives the total cost y of x pounds of dried cherries?

Answer 1

The equation that gives the total cost of x pounds of dried cherries is y = (10.60/2)x.

Step-by-step explanation:

Let's create a table to represent the given information:

Pounds of Dried Cherries (x)Total Cost (y)315.90526.50947.70

To find an equation that gives the total cost of x pounds of dried cherries, we need to find a pattern in the data. From the table, we can see that as the pounds of dried cherries increase, the total cost also increases. This suggests a linear relationship between pounds and cost.

Now, let's analyze the changes in cost for each additional pound of dried cherries:

• From 3 to 5 pounds: The cost increased by $26.50 - $15.90 = $10.60.
• From 5 to 9 pounds: The cost increased by $47.70 - $26.50 = $21.20.

Based on these changes, the cost increased by $10.60 for every 2 additional pounds of dried cherries. Therefore, the equation that gives the total cost y of x pounds of dried cherries is:

y = (10.60/2)x

Answer 2

The equation which gives the total cost y of x pounds of dried cherries is
`y=5.3x`

Step-by-step explanation:

Given:

Cost of 3 pounds of dried cherries = $15.90

Cost of 5 pounds of dried cherries = $26.50

Cost of 9 pounds of dried cherries = $47.70

Let Number of of pounds of dried cherries be 'x'

Let Total Cost be denoted by 'y'

We need to find the equation for total cost y for x pounds of dried cherries.

First we will find the cost of each pound of dried cherries.

Now we know that;

3 pounds of dried cherries = $15.90

1 pound of dried cherries = Cost of 1 pounds of dried cherries

Hence By using Unitary method we get;

Cost of 1 pounds of dried cherries =
`(15.90)/(3) = \$5.3`

Total Cost of dried cherries is equal to Number of of pounds of dried cherries multiplied by Cost of 1 pounds of dried cherries.

framing in equation form we get;

`y=5.3x`

Hence The equation which gives the total cost y of x pounds of dried cherries is
`y=5.3x`