$$y=19.99+1.50 x$$The equation above models the total cost $y$, in dollars, that a company charges a customer to rent a truck for one day and drive the truck $x$ miles. The total cost consists of a flat fee plus a charge per mile driven. When the equation is graphed in the $x y$-plane, what does the $y$-intercept of the graph represent in terms of the model?
SAT · Math · previous-year question
- A.A flat fee of $\$ 19.99$correct
- B.A charge per mile of $\$ 1.50$
- C.A charge per mile of $\$ 19.99$
- D.Total daily charges of $\$ 21.49$
Answer
A. A flat fee of $\$ 19.99$
Explanation
Choice A is correct. The $y$-intercept of the graph of $y=19.99+1.50 x$ in the $x y$-plane is the point on the graph with an $x$-coordinate equal to 0 . In the model represented by the equation, the $x$-coordinate represents the number of miles a rental truck is driven during a one-day rental, and so the $y$-intercept represents the charge, in dollars, for the rental when the truck is driven 0 miles; that is, the $y$-intercept represents the cost, in dollars, of the flat fee. Since the $y$-intercept of the graph of $y=19.99+1.50 x$ is $(0,19.99)$, the $y$-intercept represents a flat fee of $\$
Practice more SAT questions
Answer thousands more real SAT previous-year questions free, get graded instantly, and climb the global ranked leaderboard.
Practice SAT free →More SAT Math questions
- If \frac{x-1}{3}=k and k=3, what is the value of x ?…
- For i=\sqrt{-1}, what is the sum (7+3 i)+(-8+9 i) ?…
- On Saturday afternoon, Armand sent m text messages each hour for 5 hours, and Tyrone sent …
- Kathy is a repair technician for a phone company. Each week, she receives a batch of phone…
- \left(x^{2} y-3 y^{2}+5 x y^{2}\right)-\left(-x^{2} y+3 x y^{2}-3 y^{2}\right)Which of the…
- h=3 a+28.6A pediatrician uses the model above to estimate the height h of a boy, in inches…
- m=\frac{\left(\frac{r}{1,200}\right)\left(1+\frac{r}{1,200}\right)^{N}}{\left(1+\frac{r}{1…
- If \frac{a}{b}=2, what is the value of \frac{4 b}{a} ?…