Answer:b
Step-by-step explanation:
Answer:
The total amount a member pays for an item with a regular price of x dollars is T (x) = 0.963<em>x</em>.
Step-by-step explanation:
Key points:
- Discount is subtracted from the regular price of an item.
- Sales tax is added to the regular price of an item.
It is provided that the customers receive a 10% discount if they are members and all customers must pay 7% in sales tax.
Two functions are provided are:
f (x) = 0.90<em>x </em>; the price of an item after the 10% member discount
g (x) = 1.07<em>x </em>; the total amount customers pay for a purchase after sales tax is applied.
Compute the total amount a member pays for an item with a regular price of x dollars as follows:
T (x) = Discount × Sales Tax
= 0.90 × 1.07 × <em>x</em>
= 0.963<em>x</em>.
Thus, the total amount a member pays for an item with a regular price of x dollars is T (x) = 0.963<em>x</em>.
Answer:
<em>16.5 gallons per minute.</em>
Step-by-step explanation:
The given table is:
We are given this linear function in the form of table.
Let 't' be the time and W(t) be the function with which the gallons of water are changing with time.
We can use slope intercept form to find the equation.
Slope of a function:
This slope is the constant of proportionality.
i.e. the rate at which the number of gallons are changing per minute.
So, the answer is <em>16.5 gallons per minute.</em>
Answer:
4
Step-by-step explanation:
-9+4=-5 in other words its increasing at this mark cause your adding positive numbers.
Think: (distance traveled by faster car) - (distance traveled by slower car) = 35 mi.
Using the formula distance = rate times time, we get for the faster car:
(55 mph)(t)
and for the slower car we get (50 mph)(t), so that
(55 mph)(t) - (50 mph)(t) = 35 mi. This can be simplified as follows:
(5 mph)(t) = 35 mi. Dividing both sides by 5 mph, we get t = (35 mi) / (5 mph).
Then t = 7 hours. The two cars will be 35 miles apart, going in the same direction, after 7 hours.
