at the bowling alley, terry paid $22.50 and bowled 3 games while tommy bowled 2 games and paid 15 dollars. Interpret the rate of change by indetifying the cost of each game
To find the cost per game, we divide the total amount paid by the number of games played.
For Terry, the cost per game is $22.50 / 3 games = $7.50 per game.
For Tommy, the cost per game is $15 / 2 games = $7.50 per game.
Therefore, the rate of change for the cost of each game is $7.50.
a spring has a length of 12 inches when a 2 pound weight is attached, and a length of 18 inches when a 5 pound weight is attached. Use rate of change to find the length of the spring when no weights are attached
To find the length of the spring when no weights are attached, we need to determine the rate of change in the length of the spring per pound.
We can calculate the rate of change by dividing the change in the length of the spring by the change in weight.
Change in length of spring = 18 inches - 12 inches = 6 inches
Change in weight = 5 pounds - 2 pounds = 3 pounds
Rate of change = Change in length of spring / Change in weight = 6 inches / 3 pounds = 2 inches/pound
Using the rate of change, we can now determine the length of the spring when no weights are attached.
No. of pounds when no weights are attached = 0 pounds
Length of the spring when no weights are attached = Rate of change * No. of pounds
= 2 inches/pound * 0 pounds = 0 inches
Therefore, the length of the spring when no weights are attached is 0 inches.
wrong
I apologize for the incorrect response.
Let's solve the problem correctly:
We can set up a ratio using the given information:
Change in weight: 5 pounds - 2 pounds = 3 pounds
Change in length of spring: 18 inches - 12 inches = 6 inches
Now, we can find the rate of change in length per pound:
Rate of change = Change in length of spring / Change in weight = 6 inches / 3 pounds = 2 inches/pound
To find the length of the spring when no weights are attached, we need to set up a proportion:
Length of spring / Weight = Rate of change
Length of spring / 0 pounds = 2 inches/pound
Since any number divided by 0 is undefined, the length of the spring when no weights are attached cannot be determined using this method. Additional information or alternative methods may be necessary to find the length of the spring without any weights attached.
a graph of the cost of gas purchased depending on the number of gallons pumped has the points (4,15) and (8,30). What is the rate of change in the cost of the gas as each gallon is pumped?
To find the rate of change in the cost of gas as each gallon is pumped, we need to calculate the slope of the line that passes through the two given points (4,15) and (8,30).
The slope formula is given by:
slope = (change in y)/(change in x)
Using the given points:
change in y = 30 - 15 = 15
change in x = 8 - 4 = 4
slope = (15)/(4) = 3.75
Therefore, the rate of change in the cost of gas as each gallon is pumped is 3.75.
a linear graph of the cost of broccoli in dollars per pound has the points (3, 8.25) and (6, 16.50). what is the rate of change in the purchasse price in dollars per pound
To find the rate of change in the purchase price of broccoli in dollars per pound, we need to calculate the slope of the line that passes through the two given points (3, 8.25) and (6, 16.50).
The slope formula is given by:
slope = (change in y)/(change in x)
Using the given points:
change in y = 16.50 - 8.25 = 8.25
change in x = 6 - 3 = 3
slope = (8.25)/(3) = 2.75
Therefore, the rate of change in the purchase price of broccoli in dollars per pound is $2.75.
To interpret the rate of change and identify the cost of each game, we can use the given information about Terry and Tommy's bowling activities and payments.
Let's start by finding Terry's cost per game. Terry paid $22.50 for 3 games, so we divide the total amount paid by the number of games:
$22.50 ÷ 3 games = $7.50 per game.
Therefore, Terry's cost per game is $7.50.
Next, let's find Tommy's cost per game. Tommy paid $15 for 2 games, so we divide the total amount paid by the number of games:
$15 ÷ 2 games = $7.50 per game.
Therefore, Tommy's cost per game is also $7.50.
Interpreting the rate of change, we can see that both Terry and Tommy paid the same amount per game, which is $7.50. This means that the rate of change in cost per game is constant for both players.