20 pts need this question asap

Each student ticket for an art museum costs $12.50. the total cost for student tickets, t, varies directly as the number of tick

Troyanec [42]

An equation that models the proportional relationship between t and s.

t = 12.5s

<h3>What is proportional relationship?</h3>

Relationships between two variables where their ratios are equal are known as proportional relationships. The fact that one variable is always a constant value multiplied by the other in a proportionate connection is another way to conceive of them. This parameter is referred to as the "constant of proportionality."

<h3>According to the given information :</h3>

1) Ticket for an art museum costs $12.50

2) In other words, the price will increase by $12.50 for each ticket purchased (or tickets).

In other words, the total expense is always 12.5 times the quantity of tickets sold.

3) This indicates that we can create this ---> t = 12.5s.

An equation that models the proportional relationship between t and s.

t = 12.5s

To know more about proportional relationship visit:

brainly.com/question/12022244

#SPJ4

6 0

1 year ago

2 square root of negative 18

Karo-lina-s [1.5K]

Answer:

8.48528137 simplified is 8.49

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

A ball is thrown into the air from a height of 4 feet at time t = 0. The function that models this situation is h(t) = -16t2 + 6

katrin2010 [14]

Answer:

Part a) The height of the ball after 3 seconds is $49\ ft$

Part b) The maximum height is 66 ft

Part c) The ball hit the ground for t=4 sec

Part d) The domain of the function that makes sense is the interval

[0,4]

Step-by-step explanation:

we have

$h(t)=-16t^{2} +63t+4$

Part a) What is the height of the ball after 3 seconds?

For t=3 sec

Substitute in the function and solve for h

$h(3)=-16(3)^{2} +63(3)+4=49\ ft$

Part b) What is the maximum height of the ball? Round to the nearest foot.

we know that

The maximum height of the ball is the vertex of the quadratic equation

so

Convert the function into a vertex form

$h(t)=-16t^{2} +63t+4$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$h(t)-4=-16t^{2} +63t$

Factor the leading coefficient

$h(t)-4=-16(t^{2} -(63/16)t)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$h(t)-4-16(63/32)^{2}=-16(t^{2} -(63/16)t+(63/32)^{2})$

$h(t)-(67,600/1,024)=-16(t^{2} -(63/16)t+(63/32)^{2})$

Rewrite as perfect squares

$h(t)-(67,600/1,024)=-16(t-(63/32))^{2}$

$h(t)=-16(t-(63/32))^{2}+(67,600/1,024)$

the vertex is the point (1.97,66.02)

therefore

The maximum height is 66 ft

Part c) When will the ball hit the ground?

we know that

The ball hit the ground when h(t)=0 (the x-intercepts of the function)

so

$h(t)=-16t^{2} +63t+4$

For h(t)=0

$0=-16t^{2} +63t+4$

using a graphing tool

The solution is t=4 sec

see the attached figure

Part d) What domain makes sense for the function?

The domain of the function that makes sense is the interval

[0,4]

All real numbers greater than or equal to 0 seconds and less than or equal to 4 seconds

Remember that the time can not be a negative number

6 0

3 years ago

Irma works for a service that delivers groceries and pet supplies. She earns a base monthly salary of $1,900. In addition, she g

ruslelena [56]

Irma’s annual income has the delivery fees already taken out. earnings based on salary and commission is higher becuase fees have not been taken out

3 0

2 years ago

Angie bought 312 pounds of apples to make a pie. There are 16 ounces in one pound. How many ounces of apples did she buy?

vfiekz [6]

4,992 ounces
multiply 312 by 16

3 0

2 years ago