Interpret Equations Math

Jocelyn is going to the amusement park, where she has to pay a set price of admission and another price for tickets to go on each of the rides. The total amount of money Jocelyn will spend is given by the equation y=3.5x+28, where y represents the total amount of money, in dollars and cents, and x represents the number of rides Jocelyn goes on. What could the number 28 represent in the equation?

• The total amount Jocelyn will spend if she goes on 1 ride

• The change in total amount of money for each additional ride she goes on

• The total amount Jocelyn will spend if she goes on 100 rides

• The cost to get into the amusement park

Anthony's math teacher finds that there's roughly a linear relationship between the amount of time students spend on their homework and their weekly quiz scores. This relationship can be represented by the equation y=57+6.3x, where y represents the expected quiz score and x represents hours spent on homework that week. What is the meaning of the x-value when y=99?

• A student's expected quiz score if they spend 1 hour on their homework

• A student's expected quiz score if they spend 99 hours on their homework

• How many hours a student spends studying all year

• The number of hours a student should spend on their homework to expect a score of 99 on the quiz

Joseph is driving on a long road trip. He wrote an equation to represent how many gallons of gas he has left in his tank, g=7-0.4h, where g represents the number of gallons and h represents time in hours. What is the meaning of the g-value when h=1?

• How long it takes Joseph to run out of gas

• The number of gallons of gas at the time h=0

• The number of gallons in the tank after one hour

• The number of gallons in the tank when the trip ends

Nathaniel is taking a multiple choice test. His grade is given by the equation y=105−3x, where y represents his final score and x represents the number of questions he got wrong. What is the meaning of the y-value when x=1?

• The score he would get if he only missed one question

• The number of problems on the test

• His score with 0 problems wrong

• The points he loses for every wrong question

Adam is taking a multiple choice test. His grade is given by the equation y=200−4x, where y represents his final score and x represents the number of questions he got wrong. What could the number 4 represent in the equation?

• His score with 0 problems wrong

• The points he loses for each wrong question

• The score he would get if he only missed one question

• The number of problems on the test

Which point satisfies both equations?

y - x = 2

y + 2x = 2

• (0, 2)

• (2, 0)

• (2, 4)

• (-2, 6)

At which point do the graphs of these equations intersect?

4x + 3y = 12

2x - 5y = -20

• (0, 4)

• (4, 0)

• The graphs do not intersect.

• The graphs represent the same line

The cost for renting kayaks at Company A is c = 5h + 20. The cost for renting at Company B is c = 7h + 12. What is the number of rental hours for which the cost will be the same for both companies?

• 4 hours

• 5 hours

• 8 hours

• 16 hours

Which ordered pair represents the solution to the equations shown in the graph?

• (0, 6)

• (6, 0)

• (0, 10)

• (10, 0)

Jan has $100 in her bank account. She adds $15 to her account each month. Maura had $130 in her bank account . She adds $10 to her account each month. A system of equations is used to find how many monthly deposits will be needed for the accounts to have equal balances. Which graph correctly depicts this system of equations and its solution?

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