On tax free weekend, Alyssa bought 5 pairs of blue jeans for $190.95. The cost of the jeans is proportional to the number of pairs of jeans bought. What is the constant of proportionality in terms of dollars per pair of jeans?
Let x be the cost of one pair of jeans. Then, we know that:
5x = 190.95
Dividing both sides by 5, we get:
x = 38.19
Therefore, the constant of proportionality is $38.19 per pair of jeans.
What is the unit rate of miles driven per hour? (graph) y numbers are from down to up is 25 50 75 100 125 150 175 and 200 and x from left to right are 0 1 2 3 4 5 6 7 8
We cannot accurately determine the unit rate of miles driven per hour from the information given in the graph. We would need to know the specific context of the graph (e.g. distance traveled over time) and have additional information (such as the scale of the axes) in order to calculate the unit rate.
Shannon has three different recipes for chocolate chip cookies. If she wants to make 4 dozen cookies from Batch A, she needs to use 2 cups of chocolate chips. If she wants to make 3 dozen cookies from Batch B, she needs to use 3 cups of chocolate chips. If she wants to make 3 dozen cookies from Batch C, she needs to use 1.5 cups of chocolate chips.
Calculate each unit rate and then select the true statements below.
To calculate each unit rate, we need to determine the number of cups of chocolate chips per dozen cookies for each batch:
- Batch A: 2 cups / 4 dozen = 0.5 cups per dozen
- Batch B: 3 cups / 3 dozen = 1 cup per dozen
- Batch C: 1.5 cups / 3 dozen = 0.5 cups per dozen
True statements:
- Batch B requires the most chocolate chips per dozen cookies.
- Batch A and Batch C require the same amount of chocolate chips per dozen cookies.
- Among these three batches, Batch A has the lowest amount of chocolate chips per dozen cookies.
answers are Batch C uses less cups of chocolate chips per dozen than Batch A.
Batch A and Batch C have the same number of cups of chocolate chips per cookie.
Batch B uses less cups of chocolate chips per dozen than Batch C.
The statements are false.
- Batch C uses the same amount of chocolate chips per dozen cookies as Batch A (0.5 cups per dozen).
- Batch A uses less chocolate chips per dozen cookies than Batch C, as Batch A uses 0.5 cups per dozen cookies, while Batch C uses 0.5 cups per dozen cookies.
- Batch B actually uses more chocolate chips per dozen cookies than Batch C, as Batch B uses 1 cup per dozen cookies, while Batch C uses 0.5 cups per dozen cookies.