Final answer:
The scale factor to calculate the cost of 42 bottles of glue when 6 bottles cost $3.78 is 7. This factor is used to multiply the given cost to determine the total cost for 42 bottles. Other examples show how scale factors and unit conversions are used in various contexts.
Step-by-step explanation:
To find the scale factor for determining the cost of 42 bottles of glue when 6 bottles cost $3.78, we need to determine how many sets of 6 bottles are in 42 bottles. To do this, we divide 42 by 6, which gives us 7. Therefore, the scale factor is 7, as that is the number of times the cost should be multiplied to find the total cost for 42 bottles.
Examples:
- If Madeline's model boat is made at a scale factor of 1/36, the model boat's length in inches would be 24 feet times 12 inches per foot, divided by 36, which equals 8 inches.
- Using a 1/72 scale factor, the length of the model boat in inches would be 24 feet times 12 inches per foot, divided by 72, resulting in a length of 4 inches.
- For Josh's scale drawing of a 2.5-meter pipe at a 1/100 scale, the length in centimeters would be 250 centimeters (since 1 meter = 100 centimeters) divided by 100, which equals 2.5 centimeters.
- The length of the housefly in Sydra's drawing at a scale factor of 10 would be 8 millimeters times 10, equaling 80 millimeters, or 8 centimeters.
Unit Conversions:
- 8.75 feet is 8.75 times 12, which equals 105 inches.
- 29.5 liters is 29,500 milliliters since 1 liter is 1000 milliliters.
- Maureen would pay $4.50 for 9 ears of corn, since $3 for 6 ears scales up proportionately.
- James has 16 pints of apple juice, as 128 ounces divided by 16 ounces per pint equals 16.