the equation 27+0.25p=c gives the cost c in dollars that a store charges to deliver an appliance that weighs p pounds. use the equation and a table to find the weight of an appliance that costs $53 to deliver
To find the weight of an appliance that costs $53 to deliver, we need to substitute $53 for c in the equation and solve for p.
The given equation is:
27 + 0.25p = c
Let's substitute c = $53 into the equation:
27 + 0.25p = 53
Subtract 27 from both sides:
0.25p = 53 - 27
0.25p = 26
Divide both sides by 0.25 to isolate p:
p = 26 / 0.25
p = 104
So, the weight of the appliance that costs $53 to deliver is 104 pounds.
To find the weight of an appliance that costs $53 to deliver, let's substitute the given cost c into the equation and solve for p.
Given:
c = $53
Equation:
27 + 0.25p = c
Substitute the value for c:
27 + 0.25p = 53
Now, let's solve for p step-by-step:
Step 1: Subtract 27 from both sides of the equation:
0.25p = 53 - 27
Simplifying:
0.25p = 26
Step 2: Divide both sides of the equation by 0.25 to isolate p:
p = 26 / 0.25
Simplifying:
p = 104
Therefore, an appliance that costs $53 to deliver weighs 104 pounds.
To find the weight of an appliance that costs $53 to deliver, we can rearrange the given equation, 27 + 0.25p = c, to solve for the weight, p:
0.25p = c - 27
Now, let's create a table to find the weight, p, associated with the cost c:
```
-----------------------------------------------------
| c | p |
-----------------------------------------------------
| 53 | ??? |
-----------------------------------------------------
```
To fill in the missing value, we'll substitute c = 53 into the rearranged equation:
0.25p = 53 - 27
0.25p = 26
To solve for p, divide both sides by 0.25:
p = 26 / 0.25
p = 104
Therefore, an appliance that costs $53 to deliver weighs 104 pounds.