Answer:
![1.26m](https://tex.z-dn.net/?f=1.26m)
Step-by-step explanation:
Let m be the cost of meal in dollars.
We have been given that the tax on meal at the restaurant is 5% of meal, so the cost of meal after tax will be m plus 5% of m. We can represent this information in an equation as:
![\text{Cost of meal after tax}=m+(\frac{5}{100}*m)](https://tex.z-dn.net/?f=%5Ctext%7BCost%20of%20meal%20after%20tax%7D%3Dm%2B%28%5Cfrac%7B5%7D%7B100%7D%2Am%29)
![\text{Cost of meal after tax}=m+0.05m](https://tex.z-dn.net/?f=%5Ctext%7BCost%20of%20meal%20after%20tax%7D%3Dm%2B0.05m)
![\text{Cost of meal after tax}=1.05m](https://tex.z-dn.net/?f=%5Ctext%7BCost%20of%20meal%20after%20tax%7D%3D1.05m)
We are told that Alice decides to leave a tip of 20% of the cost of the meal plus the tax. This means that tip will be 20% of cost of meal after tax.
![\text{Amount of tip}=1.05m*\frac{20}{100}](https://tex.z-dn.net/?f=%5Ctext%7BAmount%20of%20tip%7D%3D1.05m%2A%5Cfrac%7B20%7D%7B100%7D)
![\text{Amount of tip}=1.05m*0.20](https://tex.z-dn.net/?f=%5Ctext%7BAmount%20of%20tip%7D%3D1.05m%2A0.20)
The total cost of meal will be equal to the cost of meal after tax plus amount paid by Alice as the tip.
![\text{Total cost of meal}=\text{Cost of meal after tax+Amount of tip}](https://tex.z-dn.net/?f=%5Ctext%7BTotal%20cost%20of%20meal%7D%3D%5Ctext%7BCost%20of%20meal%20after%20tax%2BAmount%20of%20tip%7D)
![\text{Total cost of meal}=1.05m+0.21m](https://tex.z-dn.net/?f=%5Ctext%7BTotal%20cost%20of%20meal%7D%3D1.05m%2B0.21m)
![\text{Total cost of meal}=1.26m](https://tex.z-dn.net/?f=%5Ctext%7BTotal%20cost%20of%20meal%7D%3D1.26m)
Therefore, the expression
represents the total amount of Alice's bill in dollars.
2x + 71 + 9
2x + 80
2 (x + 40)
Answer:
Rate of change is the highest in interval 4 ≤ x ≤ 6.
Step-by-step explanation:
The rate of change of a graph is defined as the slope of the graph at that point.
We have to find in which interval the the graph has the highest rate of change.
From the graph we can see that different intervals has different slopes.
From the graph we can see that the steepness of the graph is the highest in the interval 4 ≤ x ≤ 6.
Hence the rate of change is the highest in this interval.