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3 years ago

6

Let n represent the time in hours for the service call and C represents the total cost in dollars. Write an equation that relate

s C and n

1 answer:

USPshnik [31]3 years ago

8 0

Answer:

C(n) = pn

Step-by-step explanation:

Given :

n = time in hours for service call

C = total cost

Total cost = unit cost per hour * time in hours

If unit cost per hour = p

Hence,

C(n) = p * n

C(n) = pn

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6. Given that g(x) is the inverse of f(x)...

yarga [219]

Answer:

sub 2 lazarbeam... yeet yeet yeet

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3 years ago

The cost of a car rental is $25 per day plus 22 per mile. You are on a daily budget of $90. Write and solve an inequality to f

lara31 [8.8K]

Answer: You can drive, at most, 2.95 miles per day.

x ≤ 2.95

Step-by-step explanation:

In a single day, you can spend at most $90

Then if C represents the cost of renting the car, then we will have the inequality:

C ≤ $90

Now let's find the equation for C.

We know that we have a fixed cost of $25 plus $22 per mile, then if you drive x miles, the total cost will be $25 plus x times $22, or:

C = $25 + x*$22.

We can now replace that in the inequality:

$25 + x*$22 ≤ $90

Now let's isolate the variable x

x*$22 ≤ $90 - $25

x*$22 ≤ $65

x ≤ $65/$22 = 2.95

x ≤ 2.95

You can drive at most, 2.95 miles per day.

To find other inequalities with the same solution we can start with the solution:

x ≤ 2.95

Now let's multiply both sides by a number (the units of the number can be dollars, in that way we can make a similar problem)

Let's multiply both sides by $10:

x*$10 ≤ 2.95*$10 = $29.5

x*$10 ≤ $29.5

Now let's add the same number in both sides, for example, $5.

x*$10 + $5 ≤ $29.5 + $5 = $34.5

x*$10 + $5 ≤ $34.5

We could write this problem as:

"To rent a cab in your city, you have an initial cost of $5, plus $10 for each mile driven. How many miles could you drive if at most you can spend $34.50?"

You could be more creative with the problem, but this is the way in which you can craft problems of this type when you already know the solution.

5 0

3 years ago

Given f(x)= 2x^3+kx-1, and x+1 is a factor of f(x), then what is the value of k?

VMariaS [17]

Answer:

put x=-1, and the rest will be easy

5 0

2 years ago

Read 2 more answers

A grocery store sells Swiss cheese for $5.90 a pound. To the nearest cent, what is the cost per ounce of Swiss cheese? Round you

Debora [2.8K]

Answer:

37 cents

Step-by-step explanation:

Given that a grocery store sells Swiss cheese

Rate per pound = 5.90 dollars

1 pound =16 oz,

Hence cost of 16 ounces is given as 5.90

SO cost of one ounce of Swiss cheese = $\frac{5/90}{16} =0.36875$

Or 36.875 cents

Round off to nearest cent as

37 cents since after decimal digit 8 is more than 5.

Hence answer is 37 cents

8 0

3 years ago

At the beginning of my bike ride I feel good, so I can travel 20 miles per hour. Later, I get tired and travel only 12 miles per

Vesnalui [34]

Answer: $3\dfrac{1}{4}$ hours

Step-by-step explanation:

Let x be the time ( in hours ) you feel good and y be the time ( in hours ) that you get tired.

As per given , we have

x+y= 8

Since : $Distance = Speed\times Time$

So , we have

20x+12y=122

According to the given question , we have the following system of equations ,

$x+y= 8--------(1)\\\\20x+12y=122------------------(2)$

Multiply 12 on both sides of equation (1) , we get

$12x+12y=96------------(3)$

Eliminate equation (3) from (2) , we get

$8x=26\\\\\Rightarrow\ x=\dfrac{13}{4}=3\dfrac{1}{4}$

Hence, you felt $3\dfrac{1}{4}$ hours good.

3 0

2 years ago