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Serhud [2]
3 years ago
10

A gas station sells a coffee mug filled with coffee for $3. For each refill, using the same mug, the gas station charges $1.25 f

or the coffee. If y represents the total cost and x represents the total number of filled coffee mugs purchased, which function rule describes this pattern?
Mathematics
1 answer:
avanturin [10]3 years ago
3 0
Since the price of the coffee itself is $1.25, the gradient of the function will be 1.25 and will give a straight line. However, since the first cup of coffee costs $3, when extrapolated to x = 0, the price is 3 - 1.25 = $1.75 which indicates the cost of using the cup. Therefore this is the y-intercept. This can be expressed as a linear function of y = mx + c where y is the price, m is the gradient, x is the number of times the cup has been filled with coffee, and c is the price of using the cup, giving:
y = 1.25x + 1.75
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50 + 20h = 100 + 10h
20h - 10h = 100 - 50
10h = 50
h = 50/10
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7 0
3 years ago
Two paths each of width 4m run across the middle of a rectangular field 24m long and 16m wide. Calculate the area of the paths.​
djverab [1.8K]

Answer:

272cm2

Step-by-step explanation:

4m×2=8

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8m×24m=272cm2

7 0
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(I need help)
natima [27]

Answer:

b. 9

Step-by-step explanation:

36+97=133

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3 years ago
if a minute hand on a clock turns 1 degree every minute, how many minutes have passed when it's 1/8 of the way around the clock?
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4 0
3 years ago
100 is what percent of 250?
alisha [4.7K]

Answer:

100 is 40% of 250

Step-by-step explanation:

1. We assume, that the number 250 is 100% - because it's the output value of the task.  

2. We assume, that x is the value we are looking for.  

3. If 100% equals 250, so we can write it down as 100%=250.  

4. We know, that x% equals 100 of the output value, so we can write it down as x%=100.  

5. Now we have two simple equations:

1) 100%=250

2) x%=100

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=250/100

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 100 is what percent of 250

100%/x%=250/100

(100/x)*x=(250/100)*x       - we multiply both sides of the equation by x

100=2.5*x       - we divide both sides of the equation by (2.5) to get x

100/2.5=x  

40=x  

x=40

now we have:  

100 is 40% of 250

6 0
3 years ago
Read 2 more answers
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