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

Answer:

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 = $\frac{15.90}{3} = \ 5.3$

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 $y=5.3x$