Answer:
a. Earnings of Enguun for 12 hours this month (G)
G = 204 dollars
b. Earnings of Enguun for 19.5 hours last month (G)
G = 331.5 dollars
Step-by-step explanation:
Nomenclature
G: Total earnings of Enguun in dollars
E: Enguun's earnings for 1 hour of tutoring (dollars/hour)
n: number of hours that Enguun tutored per month (hour/month)
Formula
G = E*n
E = $17 per hour = 17 dollars/hour
Problem development
a. Earnings of Enguun for 12 hours this month
n = 12 hours
G = E*n
: We eliminate hours
G = 204 dollars
b. Earnings of Enguun for 19.5 hours last month
G = E*n
G = 17 * 19.5
G = 331.5 dollars
Answer:
Given the ordered pairs, the exponential growth function would be represented by f(x)=35(1.6)^x.
Step-by-step explanation:
Exponential growth functions are represented by the following equation: f(x)=ab^x, where 'a'=initial value; 'b'=rate of growth; 'x'=independent value or time. Given the points, we see that the values of 'x' increase by 1 each time and dividing two 'y' values (35/21.875; 56/35; 89.6/56) gives us a change of 1.6. Rate is the change in y/the change in x, or 1.5/1, which is the value of 'b'. When 'x' is equal to 0, the value of 'y' is 35, so this represents the initial value, or 'a'. Plugging in these values will give us the final equation f(x)=35(1.6)^x.
Answer:
Change per week: $20
Starting amount of money: $550
Step-by-step explanation:
<u>Given equation</u>:
where:
- x = number of weeks
- y = total account balance
<u>Change per week</u>
As the variable x represents the number of weeks, its coefficient represents the change per week in the amount of money.
Therefore, the change per week in the amount of money in the account is $20.
<u>Initial Balance</u>
The starting amount of money in the account (initial balance) will be the value of y when x = 0:
Therefore, the starting amount of money in the account is $550.
Answer:
An exact number is one that has no uncertainty. An example is the number of tires on a car (exactly 4) or the number of days in a week (exactly 7). An approximate number is one that does have uncertainty. ... The number can be the result of a measurement.
Step-by-step explanation:
