To arrive at the answer, I graphed the piecewise function using a graphing calculator, then evaluated it at x=38 and x=52. I drew a line at y=445 and found the point of intersection on the graph.
a) The difference between earnings for 52 hours ($580) and earnings for 38 hours ($380) is
$200.
b) An employee must work
43 hours to earn $445.
Answer:
7 inches
Step-by-step explanation:
Height : Diameter
14 : 6
H : 3
H/14 = 3/6
H = 14 × 3/6
H = 7
Answer:
The percent decrease in the number of cheese sticks you can buy for $1 is 80%.
Step-by-step explanation:
Given : Cheese sticks that were previously priced at "10 for $1" are now "2 for $1".
To find : The percent decrease in the number of cheese sticks you can buy for $1 ?
Solution :
The formula used to find percent decrease is given by,

The price change from 10 to 2,



The percent decrease in the number of cheese sticks you can buy for $1 is 80%.
Answer:
The piece-wise function is;

Step-by-step explanation:
The flat rate for renting the car = $35 per day
The amount charged as insurance fee per day for renting the car for 3 days or less = $10
The insurance fee charged per day when the car is rented for more than 3 days = $5
Let the number of days = x
Therefore, we have;
For x ≤ 3, f(x) = 35 × x + 10 × x = x × (35+10) = 45·x
For x > 3, f(x) = 35 × x + 5 × x = x × (35+5) = 40·x
Therefore;
The charge rate for renting the car for less than or equal to 3 days = 45·x
The charge rate for renting the car for more than 3 days = 40·x
The piece-wise function can be presented as follows;

We will evaluate both expressions step by step.
Sylvia's espression:
h + 0.05h
h: Original hat price.
0.05h: Increase of 5% due to sales tax.
Jin's expressions:
1.05h
h: Original hat price.
1.05: Factor for which you must multiply the original price to add 5% due to sales tax.