Slope-Intercept Linear Equation Word Problems

Would you write a linear equation to model the following situation in slope-intercept form or standard form? 
The cost for a health club membership is $20 per month plus an initial $49 membership fee. 

• Slope-Intercept Form

• Standard Form

Would you write a linear equation to model the following situation in slope-intercept form or standard form? 
The price of a large cheese pizza is $5.95 plus an additional $0.75 per topping. 

• slope-intercept

• standard form

A man is climbing down from 100 feet high descending 30 feet per minute.

• y = 100 - 30x

• y = 100 + 30x

• y = 100x + 30

• y = 100x - 30

In order to join a dancing club, there is a $30 startup fee and a $4 monthly fee. Write an equation in slope-intercept form that models this situation.  After how many months will the total cost be $58?

• 7 months

• 6 months

• 5 months 

• 4 months

In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.

Shari takes violin lessons. The equation 288x – 4y = -192 relates y, the total cost of the lessons, and x, the number of lessons. Shari incorrectly states that the slope of the line is 288. Why did Shari think that 288 was the slope? Choose one option from each drop-down menu to answer the question. Shari thought that the ​ (a)   was the slope. She forgot to ​ (b)   . The correct slope is ​ ​ (c)   .

• write the equation in slope-intercept form.

• coefficient of x

• coefficient of y

• divide -192 by 4

• divide 288 by -4

• -48

• 72

• -72

• 48

• constant term

Shari takes violin lessons. The equation 288x – 4y = -192 relates y, the total cost of the lessons, and x, the number of lessons. Shari incorrectly states that the slope of the line is 288. Why did Shari think that 288 was the slope? Choose one option from each drop-down menu to answer the question.

• write the equation in slope-intercept form.

• coefficient of x

• coefficient of y

• divide -192 by 4

• divide 288 by -4

• -48

• 72

• -72

• 48

• constant term

Shari takes violin lessons. The equation 288x – 4y = -192 relates y, the total cost of the lessons, and x, the number of lessons. Shari incorrectly states that the slope of the line is 288. Why did Shari think that 288 was the slope? Choose one option from each drop-down menu to answer the question. Shari thought that the ​ (a)   was the slope. She forgot to ​ (b)   . The correct slope is ​ ​ (c)   .

• write the equation in slope-intercept form.

• coefficient of x

• coefficient of y

• divide -192 by 4

• divide 288 by -4

• -48

• 72

• -72

• 48

• constant term

Shari takes violin lessons. The equation 288x – 4y = -192 relates y, the total cost of the lessons, and x, the number of lessons. Shari incorrectly states that the slope of the line is 288. Why did Shari think that 288 was the slope? Choose one option from each drop-down menu to answer the question. Shari thought that the ​ (a)   was the slope. She forgot to ​ (b)   . The correct slope is ​ ​ (c)   .

• write the equation in slope-intercept form.

• coefficient of x

• coefficient of y

• divide -192 by 4

• divide 288 by -4

• -48

• 72

• -72

• 48

• constant term

Shari takes violin lessons. The equation 288x – 4y = -192 relates y, the total cost of the lessons, and x, the number of lessons. Shari incorrectly states that the slope of the line is 288. Why did Shari think that 288 was the slope? Choose one option from each drop-down menu to answer the question. Shari thought that the ​ (a)   was the slope. She forgot to ​ (b)   . The correct slope is ​ ​ (c)   .

• write the equation in slope-intercept form.

• coefficient of x

• coefficient of y

• divide -192 by 4

• divide 288 by -4

• -48

• 72

• -72

• 48

• constant term