Julio and Ashley went to the drive-in theater. They paid an entry fee for the car and individual entry fees for themselves. Their total cost can be modeled by the expression 2.5x+10 . Which of the following answer choices accurately interprets a part of the algebraic expression?
a. the entry fee for the car was $2.50.
b. the entry fee for the car was $10.00.
c. the entry fee for the car was $12.50.
d. Each individual entry fee was $10.00
c. the entry fee for the car was $12.50.
Given the equation 8x−3y=2x+9y , which of the following statements is correct?(1 point) Responses
a. 8, -3, 2, and 9 are constants
b. 8 is the only factor of 8x
c. There are four variables.
d. 8, -3, 2, and 9 are coefficients.
d. 8, -3, 2, and 9 are coefficients.
An equation can be broken down into expressions, terms, variables, constants, and coefficients. In the equation 0.4−7x=3 , what is/are the constant(s) in the equation?(1 point)
a. -7
b. 0.4
c. 0.4 and 3
d. 3
c. 0.4 and 3
Use the grouping symbols to interpret the following equation: x/8 = 3(x+4)/2 . Which expression in the equation represents a product?(1 point)
3(x+4)/2
Consider the expression [3(4^2+32÷4−5)]. Which quotient must be found to simplify the expression?(1 point) Responses
32 ÷ 4
To interpret a part of the algebraic expression 2.5x + 10, we need to understand what each term represents.
The term "2.5x" represents the entry fee for each individual. The 'x' in 2.5x represents the number of individuals (Julio and Ashley). So, each individual's entry fee is $2.50.
The term "10" represents an additional cost that is not dependent on the number of individuals. This suggests that the entry fee for the car is $10.
Therefore, the correct answer is:
a. The entry fee for the car was $2.50.