Pergunta

The cost of renting a jet ski for a certain number of hours can be modeled by y=40x+50 How much does it cost per hour? __ What is the fee? __ How many hours would you have to rent it to pay 290^circ How much would it cost to rent for 3 hours?
Solução

4.3329 Voting

MatheusElite · Tutor por 8 anos
Responder
To determine the cost per hour, we need to look at the coefficient of \( x \) in the equation \( y = 40x + 50 \). The coefficient \( 40 \) represents the cost per hour.<br /><br />So, the cost per hour is \( \$40 \).<br /><br />Next, the fee is represented by the constant term in the equation, which is \( 50 \).<br /><br />So, the fee is \( \$50 \).<br /><br />To find out how many hours you would have to rent it to pay \( \$290 \), we set \( y = 290 \) and solve for \( x \):<br /><br />\[ 290 = 40x + 50 \]<br /><br />Subtract 50 from both sides:<br /><br />\[ 240 = 40x \]<br /><br />Divide both sides by 40:<br /><br />\[ x = 6 \]<br /><br />So, you would have to rent it for 6 hours to pay \( \$290 \).<br /><br />Finally, to find out how much it would cost to rent for 3 hours, we substitute \( x = 3 \) into the equation:<br /><br />\[ y = 40(3) + 50 \]<br /><br />\[ y = 120 + 50 \]<br /><br />\[ y = 170 \]<br /><br />So, it would cost \( \$170 \) to rent for 3 hours.
Clique para avaliar: