SAT Math-Kate

Line k is defined by y=-17/3x+5. Line j is perpendicular to line k in the xy-plane. What is the slope of line j?

• -17/3

• -3/17

• 17/3

• 3/17

A cargo helicopter delivers only 100-pound packages and 120-pound packages. For each delivery trip, the helicopter must carry at least 10 packages, and the total weight of the packages can be at most 1,100 pounds. What is the maximum number of 120-pound packages that the helicopter can carry per trip?

• 2

• 4

• 5

• 6

The table gives the coordinates of two points on a line in the xy-plane. The y-intercept of the line is (k-5,b), where k and b are constants. What is the value of b?

x y

k 13

k+7 -15

• 45

• 33

• 8

• 13

-x + y =-3.5, and x + 3y, = 9.5 If (x,y) satisfies the system of equations above, what is the value of y

• 1

• 3/2

• 2/3

• 2

(1/2y = 4) (x-1/2y =2) The system of equations above has solution (x, y). What is the value of x?

• 3

• 7/2

• 4

• 6

The total cost f(x), in dollars, to lease a car for 36 months from a particular car dealership is given by f(x)=36x+1000, where x is the monthly payment, in dollars. What is the total cost to lease a car when the monthly payment is $400?

• $13,400

• $13,000

• $15,400

• $37,400

The graph of the equation ax+ky=6 is a line in the xy-plane, where a and k are constants. If the line contains the points (-2,6) and (0,-3), what is the value of k

• -2

• -1

• 2

• 3

• 6

• 4

• 2

• 12

• f(x)=60x+100

• f(x)=60x+220

• f(x)=80x

• f(x)=80x+220

Hector used a tool called an auger to remove corn from a storage bin at a constant rate. The bin contained 24,000 bushels of corn when Hector began to use the auger. After 5 hours of using the auger, 19,350 bushels of corn remained in the bin. If the auger continues to remove corn at this rate, what is the total number of hours Hector will have been using the auger when 12,840 bushels of corn remain in the bin?

• 3

• 7

• 8

• 12