Writing Two-Variable Linear Equations Answers

An electrician charges a flat fee plus an hourly rate for a service call. She charges a total of $94 for a 3-hour service call on Monday and $130 for a 5-hour service call on Tuesday. How much should she charge for a 2-hour service call?

The cost, c, of a health club membership is related linearly to its length in months, m. If a 12-month membership costs $260 and an 18-month membership costs $380, which equation can be used to find the cost of a 30-month membership?

What is the x-intercept of the line containing the points (–6, 10) and (12, –2)?

If f(x) is parallel to the line , which function could be f(x)?

If y = mx + b is the equation of a line perpendicular to the line y = 5x – 2, what is the value of m?

What is the minimum number of points needed to determine the equation of a line containing those points?

A landscaper makes a $2,000 profit in a week when he services 25 lawns. He makes a $600 profit in a week when he services 11 lawns. If his profit for the week is a linear function of the number of lawns serviced, how much profit would he receive in a week that he services 36 lawns?

A printer will produce 80 wedding invitations for $210. The price to produce 120 invitations is $290. The printer uses a linear function to determine the price for producing different amounts of invitations. How much will the printer charge to produce 60 invitations?

A food production company is choosing between two suppliers of grain. Supplier A sells grain for $5.25 per bushel plus a delivery fee of $3 per bushel. Supplier B sells the grain for $6.50 per bushel plus a flat delivery fee of $1,500 each week. Which supplier would cost more if the production company bought 500 bushels of grain each week?