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Jeremy’s car travels 26 miles per gallon of gas (g). If the distance traveled (d) can be given by a function, what is the input of this function?
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We need to find two relations, and use them to find the value of y when z = 15.
We will see that the value of y in that case is 4,860.
We know that <u>y varies inversely with the square of x</u>, also <u>y is also proportional to the cube of z</u>
Then we can write:
y = k/x^2
y = c*z^3
We also know that:
When x = 3, y = 80.
Replacing that in the first equation to find the value of k:
80 = k/3^2
80 = k/9
80*9 = k = 720
We also know that when x = 2, z = 5
From the first relation we have:
y = 720/2^2 = 720/4 = 180
Now we replace this in the equation of y and z:
y = c*z^3
180 = c*5^3
180 = c*125
180/125 = c = 1.44
Now we need to calculate y when z = 15, then we just need to replace z by 15 in the equation for y and z:
y = 1.44*(15)^3 = 4,860.
If you want to learn more, you can read:
brainly.com/question/2548537
Answers:
- Enlargement
- The new larger rectangle is 16.8 inches by 8.4 inches
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Explanation:
I'm assuming 7/5 is the scale factor. If so, notice how 7/5 = 1.4 which is larger than 1.
The scale factor being larger than 1 means we have an enlargement.
The image is going to be larger compared to the preimage.
The preimage rectangle is 12 in by 6 in. Multiply each dimension by 1.4 to get 12*1.4 = 16.8 and 6*1.4 = 8.4
The image rectangle is 16.8 inches by 8.4 inches
Answer: 34.18%
Step-by-step explanation:
Given: On Saturday, Number of cupcakes sold = 
dozens
= 
dozens
[ 1 dozen = 12 items]
On Friday, Number of cupcakes sold = 
dozens
= 
dozens
[ 1 dozen = 12 items]
Increase in cupcakes = 318-237=81
Percent increase in cupcakes sales from Friday to Saturday = 
= 34.18% (approx)
The approximate percent increase in cupcake sales from Friday to Saturday = 34.18%
