Gina charges an initial fee and an hourly fee to babysit. Using the table below find the hourly fee and the initial fee that

Mathematics

1 answer:

Anna11 [10]3 years ago

6 0

By analyzing this graph we can see that it is a linear relation. Meaning that the Rate of Change is a consistent number, in this case $7. We know its $7 because by looking at the y coordinate for all present coordinates we can see a consistent difference of $7. From this point you could work backwards. Finding the coordinates for the first hour, which by doing $26 - $7 tells us the missing number for the first coordinate pair (1,19). Then we work backwards one more time, this time subtracting $7 from $19, and this tells us the initial value (the coordinate on the y-axis), which is $12. One thing you can do to show your work is draw a straight line that intersects all the coordinates and the y-axis, the line should intersect the y-axis at these coordinates (0,12). Now I could be wrong but if there is a formula that is used to determine this answer then I am unaware of it. Hope this helps however

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kati45 [8]

a.
h = 2c - 3

b.
3h + 1.5c = 201

c.
We have a system of equations from part a and b.
h = 2c - 3 (equation 1)
3h + 1.5c = 201 (equation 2)

We use substitution method to solve this system.
Substitute equation 1 in equation 2 to get
3h + 1.5c = 201
>> 3(2c - 3) + 1.5c = 201
>> 6c - 9 + 1.5c = 201
>> 7.5c = 201 + 9
>> 7.5c = 210
>> c = 210 / 7.5
>> c = 28

Plug this value back in equation 1 to get
h = 2c - 3
>> h = 2(28) - 3 = 56 - 3 = 53

So, c = 28 and h = 53 implies that <u>28 corndogs</u> and 53 hotdogs were sold.

3 0

3 years ago

Can someone answer this

Dmitry_Shevchenko [17]

Answer:

the appropriate choice is the last one

Step-by-step explanation:

$7^{\frac{4}{5}}=(7^4)^{\frac{1}{5}}=\sqrt[5]{7^4}$

This is equivalent to b^(pq) with b=7, p=4, q=1/5. Here, q is a rational number, as suggested by the last answer choice.

5 0

3 years ago

If b>1 in a function of the form f(x) = ab^x, is the function an example of exponential growth or exponential decay?

alex41 [277]

Answer:

It's exponential growth.

Step-by-step explanation:

b/c any value of b that's greater than 1 is an exponential growth function, and anything that's 0<b<1 or if b<0, the function would be an exponential decay.

3 0

3 years ago

Lucy's weekly income is $70. she budgets $40 for movies and food and saves the of her income. how much money will she save in 6

vlada-n [284]

Weekly income = 70...she budgets 40 for movies and food.....70 - 40 = 30...that leaves 30 per week that she saves.

1 month = 4 weeks....so 6 months = (6 * 4) = 24 weeks

24 weeks....saving 30 per week = (24 * 30) = $ 720 <===

4 0

4 years ago

A train leaves Kaduna for Lagos at 64km/h and an express to Kaduna leaves Lagos an hour later at 96km/h. If the distance between

LenKa [72]

Good to see you here. Now back to the train.

Kaduna, K Lagos, L

Train leaves at 64 km/h

One hour late second train leaves Lagos at 96 km/h.

At the point they meet, if first train has been travelling for "x" hours. Second train has been travelling for (x-1) hour.

At the point the meet, the total distance travelled is equal to 624 km.

Therefore:

64(x) + 96(x-1) = 624
64x + 96x - 96 = 624
160x = 624+96
160x = 720 , x = 720/160 = 4.5

So when they meet, the first train which left Kaduna has travelled= 64x = 64*4.5= 288km from Kaduna.

So it is (624-288) km from Lagos. = 336 Km from Lagos.

Second train which left Lagos has travelled = 96(x-1) = 96(4.5-1) = 336km.
The second train is also 336 km away from Lagos.

Cheers.

3 0

3 years ago