Math  /  Algebra

QuestionEvery month after that, he deposits the same amount of money.
The equation that models this situation is y=75x+50y=75 x+50, where yy is the amount of money in the account and xx is the number of deposits.
What does the yy-intercept mean in this situation? A. He puts $50\$ 50 in the account each month. B. He puts $75\$ 75 in the account each month. C. He was given $75\$ 75 for his birthday.

Studdy Solution

STEP 1

1. The equation y=75x+50 y = 75x + 50 is in the form of a linear equation y=mx+b y = mx + b , where m m is the slope and b b is the y y -intercept.
2. The y y -intercept represents the initial value of y y when x=0 x = 0 .

STEP 2

1. Identify the y y -intercept in the equation.
2. Interpret the meaning of the y y -intercept in the context of the problem.

STEP 3

Identify the y y -intercept in the equation y=75x+50 y = 75x + 50 .
The y y -intercept is the constant term in the equation, which is 50 50 .

STEP 4

Interpret the meaning of the y y -intercept in the context of the problem.
The y y -intercept 50 50 represents the initial amount of money in the account before any deposits are made. This means that when x=0 x = 0 , or before any deposits have been made, there is already \$50 in the account.
The y y -intercept means that he initially had \$50 in the account before making any deposits. The correct interpretation is not listed among the options provided. However, if we were to choose the closest interpretation, it would be that the initial amount in the account is \$50, which is not explicitly stated in the options A, B, or C.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord