Answer:
f(x) = $25 + $75x.
Domain: positive whole numbers.
Range: f(x) ≥ $25
Step-by-step explanation:
Let x denote the total number of tour member, charging $75 per tour member implies $75x.
Therefore, the tour company charges:
f(x) = $25 + $75x
The Domain of the function, which is the possible value of x, is the set of all positive whole numbers. You can't have negative numbers because no such thing as "negative member," also you can't have fractions because no such thing is "2/3 member (for instance)."
The range, which are all the values of f(x) after putting a particular value from the domain in f(x), is the numbers from 25 and above. That is f(x) ≥ 25. This is because, if there are no tour members, they pay for hiring director only which is $25, if we have one member, the money increases to $100 and so on. These values are from 25 upwards.
Answer:
55 days
Step-by-step explanation:
<u>Number of bags of dough is 192</u>
<u>You have to calculate the number of days.</u>
<em>After 10 days, 4 bags are divided into 4 more bags: 4 + 4 =8</em>
<em>After 20 days: 8 + 8 = 16 </em>
<em>After 30 days: 16 + 16 = 32</em>
<em>After 40 days: 32 + 32 = 64</em>
<em>After 50 days: 64 + 64 = 128</em>
After 55 days: 128 + 64 = 192 (5 days will be considered since it is doubled in 10 days and this time it is divided into half the amount)
Therefore, 55 days pass before 192 bags of dough are created.
!!
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Answer:
Within 52 weeks, the amount of water in the two fish tanks will be the same.
Step-by-step explanation:
First, let's make the two equations equal to each other by placing an equal sign.
832 - 5x = 1040 - 9x
Now, that they are equal to each other, we can solve for x.
Okay, so we can move -5x to the other side by adding both sides with 5x.
832 = 1040 - 4x
Then, subtract 1040 from both sides to move it to the other side.
832 - 1040 = -208
-208 = -4x
Lastly, divide both sides by -4 to get the value of x.
-208/-4 = 52
x = 52