please help very quickly! please!

Question

Question 1: Harry is organizing a picnic. He can spend at most $24.00 on beverages. Iced tea costs $2.00 per gallon and lemonade costs $2.50 per gallon. If x represents the number of gallons of iced tea and y represents the number of gallons of lemonade, which inequality shows the number of gallons of each drink that he can buy? Identify the number of gallons of iced tea that Harry can buy if he buys 5 gallons of lemonade.

A.) 2x + 2.5y ≤ 24; no more than 5 gallons

B.) 2x + 2.5 ≤ 24; no more than 6 gallons

C.) 2.5x + 2y ≤ 24; no more than 6 gallons

D.) 2.5x + 2y ≤ 24; no more than 5 gallons

Question 2: A truck rental company charges $90 plus $20 per hour. Identify a function that represents the total charge for renting a truck for a certain number of hours. What is the value of the function for an input of 5, and what does it represent?

A.) f(h) = 90 + 20h

$190, which is the total charge in dollars for renting a truck for 5 hours

B.) f(h) = 20 + 90h

$470, which is the total charge in dollars for renting a truck for 5 hours

C.) f(h) = 20h + 90

$470, which is the total charge in dollars for renting a truck for 5 hours

D.) f(h) = 90h + 20

$190, which is the total charge in dollars for renting a truck for 5 hours

Question 3:

A.)

The transformations are a rotation and a reflection.

B.)

The transformations are a rotation and a translation.

C.)

The transformations are a translation and a reflection.

D.)

The transformations are a translation, a reflection, and a rotation.



Please give solution and explanation please.

Answer 1

Iced tea costs $2.00 per gallon and lemonade costs $2.50 per gallon

if x represents the number of gallons of iced tea

2x

and y represents the number of gallons of lemonade

2.5y

He can spend at most $24.00

≤ 24

so we need 2x + 2.5y ≤ 24 and only A fits this

(As only A fits, you don't need to figure out gallons. But 5 is correct because 24 - 12.50 = 11.50 which is 5 gallons of iced tea and $1.50 left.)

A truck rental company charges $90 plus $20 per hour

f(h) = 90 + 20h

Only answer A fits.

Similarly, as only one answer has the equation, you don't have to work out the rest of the question.

But f(h) is cost function, f(5) = 90 + 5(20) = $190 and is cost for renting truck for 5 hours.