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2 years ago

What is the function with a rate of change of 3/2 whose graph passes through the point (4, 10.5)?

Mathematics

1 answer:

klio [65]2 years ago

3 0

<h2>Answer:</h2>

y= $\frac{3}{2}$ *x+4.5

<h2>Step-by-step explanation:</h2>

We are given a slope and a point. That is why we will use point slope form.

The default equation is:

(y-a)=m*(x-b)

a is the y coordinate of our point and b is the x coordinate of our point

m is the slope.

We will plug in the values.

(y-10.5)=3/2*(x-4)

Now we just manipulate the equation

y= $\frac{3}{2}$ *x+4.5

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for A class trip, 144 students are put on 4 buses .At this rate how many students would be on 8 buses. Plz put work

dedylja [7]

Answer: 288 students

Step-by-step explanation:

<u>First Step: find the number of students per bus</u>

Given

- 144 students

- 4 bus

Solve

144 students/4 buses=36 students/bus

<u />

<u>Second Step: apply the rate to find the number of students in 8 buses</u>

Given

- 8 buses

- 36 students/bus

Solve

8×36=288 students

Hope this helps!! :)

Please let me know if you have any questions

3 0

3 years ago

Maria bought g gallons of gasoline for $3.95 per gallon and c cans of oil for $4.45 per can. a. What expression can be used to

Furkat [3]

Answer:

a.) Total amount spent on gasoline and oil = $ ( 3.95g + 4.45c )

b.) Total amount spent by Maria = $ 74.02

Step-by-step explanation:

As given,

Cost of gasoline = $ 3.95 gallon

Cost of oil per can = $ 4.45

Also given,

Maria bought g gallons of gasoline and c cans of oil

⇒ Total cost of g gallons of gasoline = g×3.95 = $3.95g

Total cost of c cans of oil = c×4.45 = $4.45c

Now,

a.)

Total amount spent on gasoline and oil = $ ( 3.95g + 4.45c )

b.)

As given ,

Maria buy gasoline , g = 8.6 gallons

Maria buy cans of oil , c = 6

So,

Total amount spent = $ 3.95(8.6) + 4.45(9)

= $ 33.97 + 40.05 = $ 74.02

⇒Total amount spent by Maria = $ 74.02

3 0

2 years ago

Inqualities question pls help!

Margaret [11]

Answer:

Step-by-step explanation:

The closed circle at - $\frac{3}{2}$ indicates that x can equal this value

The open circle at $\frac{7}{2}$ indicates that x cannot equal this value.

All values of x between - $\frac{3}{2}$ and $\frac{7}{2}$ are valid, thus

- $\frac{3}{2}$ ≤ x < $\frac{7}{2}$ → B

5 0

2 years ago

Which is an equivalent form of the equation 2x - y = 12?

aalyn [17]

2x-y=12
-y=12-2x
(-y=12-2x)devide -1
y = -12+2x
y=2x-12
ANSWER = C

7 0

3 years ago

What the circumference of 11 as circle

posledela

11/3.14 aka pi = 3.50141

3 0

2 years ago